{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "44f1f679",
   "metadata": {},
   "source": [
    "# Demo 10: Vektorfelter og deres integration langs kurver (det tangentielle kurveintegral)\n",
    "\n",
    "Demo af Christian Mikkelstrup, Hans Henrik Hermansen, Jakob Lemvig, Karl Johan Måstrup Kristensen og Magnus Troen. *Revideret marts 2026 af shsp.*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "41d1bce2",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sympy import *\n",
    "from dtumathtools import *\n",
    "\n",
    "init_printing()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "153a9d80",
   "metadata": {},
   "source": [
    "Denne demo omhandler kurveintegralet af vektorfelter (på DTU ofte kaldet det tangentielle kurveintegral). For kurveintegralet se Demo 9."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cbea3bd7",
   "metadata": {},
   "source": [
    "## Vektorfelter"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9783da70",
   "metadata": {},
   "source": [
    "Som enhver anden vektorfunktion kan vektorfelter defineres enten som et Sympy-udtryk,"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "39e70d5c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}y \\cos{\\left(x \\right)}\\\\y \\sin{\\left(x \\right)}\\\\z\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡y⋅cos(x)⎤\n",
       "⎢        ⎥\n",
       "⎢y⋅sin(x)⎥\n",
       "⎢        ⎥\n",
       "⎣   z    ⎦"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x, y, z = symbols(\"x,y,z\", real=True)\n",
    "\n",
    "V = Matrix([y * cos(x), y * sin(x), z])\n",
    "V"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "acb3fc6a",
   "metadata": {},
   "source": [
    "eller som en Python-funktion, fx som en lambda-funktion:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "6e5943ed",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}y \\cos{\\left(x \\right)}\\\\y \\sin{\\left(x \\right)}\\\\z\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡y⋅cos(x)⎤\n",
       "⎢        ⎥\n",
       "⎢y⋅sin(x)⎥\n",
       "⎢        ⎥\n",
       "⎣   z    ⎦"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "V = lambda x, y, z: Matrix([y * cos(x), y * sin(x), z])\n",
    "V(x, y, z)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dc82fc30",
   "metadata": {},
   "source": [
    "Du vil også få brug for at indsætte parameterfremstillinger, som i sig selv er vektorfunktioner, ind i vektorfelter, og til det formål er sidstnævnte af de to ovennævnte definitioner nemmest at arbejde med. En parameterkurve,\n",
    "\n",
    "\\begin{equation*}\n",
    "\\boldsymbol{r} = \\begin{bmatrix} r_1(t) \\\\ r_2(t) \\\\ r_3(t) \\end{bmatrix},\n",
    "\\end{equation*}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "0cacd121",
   "metadata": {},
   "outputs": [],
   "source": [
    "r1, r2, r3 = symbols(\"r1,r2,r3\", cls=Function)\n",
    "t = symbols(\"t\")\n",
    "r = Matrix([r1(t), r2(t), r3(t)])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a0adf7af",
   "metadata": {},
   "source": [
    "indsættes nemt i vektorfeltet ved:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "44222d59",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}r_{2}{\\left(t \\right)} \\cos{\\left(r_{1}{\\left(t \\right)} \\right)}\\\\r_{2}{\\left(t \\right)} \\sin{\\left(r_{1}{\\left(t \\right)} \\right)}\\\\r_{3}{\\left(t \\right)}\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡r₂(t)⋅cos(r₁(t))⎤\n",
       "⎢                ⎥\n",
       "⎢r₂(t)⋅sin(r₁(t))⎥\n",
       "⎢                ⎥\n",
       "⎣     r₃(t)      ⎦"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "V(*r)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5852eab4",
   "metadata": {},
   "source": [
    "På den anden side kan det være trættende at skulle taste `V(x,y,z)` hver eneste gang, du skal bruge vektorfeltet, og førstnævnte gør det nemt blot at taste `V`. \n",
    "\n",
    "Vektorfelter plottes let. Bemærk, hvordan vi style'r pilene:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "8ba38ce7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "vectorfield_V = dtuplot.plot_vector(\n",
    "    V(x,y,z),\n",
    "    (x, -1, 1),(y, -1, 1),(z, 0, 6),\n",
    "    n=5,\n",
    "    quiver_kw={\"alpha\": 0.5, \"length\": 0.1, \"color\": \"black\"},\n",
    "    colorbar=False\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9aee4f2b",
   "metadata": {},
   "source": [
    "Hvis du får brug for at beregne flere af et vektorfelts egenskaber som fx *rotationen* eller *divergensen*, så findes der dertilegnede kommandoer i `dtumathtools`-pakken:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "4afc9c71",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}0\\\\0\\\\y \\cos{\\left(x \\right)} - \\cos{\\left(x \\right)}\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡        0        ⎤\n",
       "⎢                 ⎥\n",
       "⎢        0        ⎥\n",
       "⎢                 ⎥\n",
       "⎣y⋅cos(x) - cos(x)⎦"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rotV = dtutools.rot(V(x, y, z), (x, y, z))\n",
    "rotV"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "3849d3b9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle - y \\sin{\\left(x \\right)} + \\sin{\\left(x \\right)} + 1$"
      ],
      "text/plain": [
       "-y⋅sin(x) + sin(x) + 1"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "divV = dtutools.div(V(x, y, z), (x, y, z))\n",
    "divV"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5e55ca09",
   "metadata": {},
   "source": [
    "## Det tangentielle kurveintegral"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "49148eca",
   "metadata": {},
   "source": [
    "Betragt vektorfeltet \n",
    "\n",
    "\\begin{equation*}\n",
    "\\pmb{V}(x,y,z) = \\begin{bmatrix} -y \\\\ x \\\\ 2z \\end{bmatrix}\n",
    "\\end{equation*}\n",
    "\n",
    "samt de to kurver ${\\mathcal K}_1$ og ${\\mathcal K}_2$ med parameterfremstillingerne\n",
    "\n",
    "\\begin{equation*}\n",
    "\\boldsymbol r_1(u) = \\begin{bmatrix} \\cos(u) \\\\ \\sin(u) \\\\ \\frac{u}{2} \\end{bmatrix}\\,,\n",
    "\\qquad\n",
    "\\boldsymbol r_2(u) = \\begin{bmatrix} 1 \\\\ 0 \\\\ \\frac{u}{2} \\end{bmatrix},\n",
    "\\end{equation*}\n",
    "\n",
    "hvor $u \\in [0,4\\pi]$ for begge."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "d4601710",
   "metadata": {},
   "outputs": [],
   "source": [
    "x, y, z, u = symbols(\"x y z u\", real=True)\n",
    "r1 = Matrix([cos(u), sin(u), u / 2])\n",
    "r2 = Matrix([1, 0, u / 2])\n",
    "V = Matrix([-y, x, 2 * z])\n",
    "u_interval = (u, 0, 4 * pi)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1440eea4",
   "metadata": {},
   "source": [
    "$\\boldsymbol r_1$ tegner et stykke af en heliks (eller skruelinje), mens $\\boldsymbol r_2(u)$ tegner et lodret linjestykke. Bemærk, at de begge starter i $A = (1,0,0)$ og ender i $B = (1,0,2\\pi)$. Her er et samlet plot:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "12a26170",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "K1 = dtuplot.plot3d_parametric_line(\n",
    "    *r1, u_interval, show=False, rendering_kw={\"color\": \"red\"}, colorbar=False\n",
    ")\n",
    "K2 = dtuplot.plot3d_parametric_line(\n",
    "    *r2, u_interval, show=False, rendering_kw={\"color\": \"blue\"}, colorbar=False\n",
    ")\n",
    "vektorfelt_V = dtuplot.plot_vector(V,(x, -1, 1),(y, -1, 1),(z, 0, 6),\n",
    "    n=5,\n",
    "    quiver_kw={\"alpha\": 0.5, \"length\": 0.1, \"color\": \"black\"},\n",
    "    colorbar=False,\n",
    "    show=False,\n",
    ")\n",
    "\n",
    "kombineret = K1 + K2 + vektorfelt_V\n",
    "kombineret.legend = False\n",
    "kombineret.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "de655738",
   "metadata": {},
   "source": [
    "Vi vil nu beregne *det tangentielle kurveintegral* af $\\pmb{V}$ langs hver af de to kurver fra $A$ til $B$. Lærebogen giver os følgende formel (hvor $a$ og $b$ er de $u$-værdier, der svarer til hhv. punkterne $A$ og $B$, altså $A=\\boldsymbol r(a),B=\\boldsymbol r(b)$):\n",
    "\n",
    "\\begin{equation*}\n",
    "\\int_{\\mathcal K_i} \\pmb{V} \\cdot \\mathrm{d}\\pmb{s} = \\int_a^b \\pmb{V}(\\boldsymbol r(u))\\cdot \\boldsymbol r'(u) \\,\\mathrm{d}u.\n",
    "\\end{equation*}\n",
    "\n",
    "Først tangentvektorerne:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "cdf99529",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left( \\left[\\begin{matrix}- \\sin{\\left(u \\right)}\\\\\\cos{\\left(u \\right)}\\\\\\frac{1}{2}\\end{matrix}\\right], \\  \\left[\\begin{matrix}0\\\\0\\\\\\frac{1}{2}\\end{matrix}\\right]\\right)$"
      ],
      "text/plain": [
       "⎛⎡-sin(u)⎤  ⎡ 0 ⎤⎞\n",
       "⎜⎢       ⎥  ⎢   ⎥⎟\n",
       "⎜⎢cos(u) ⎥, ⎢ 0 ⎥⎟\n",
       "⎜⎢       ⎥  ⎢   ⎥⎟\n",
       "⎝⎣  1/2  ⎦  ⎣1/2⎦⎠"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "r1d = r1.diff(u)\n",
    "r2d = r2.diff(u)\n",
    "r1d, r2d"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dfdf17cc",
   "metadata": {},
   "source": [
    "Så integranderne, som er prikprodukter:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "ae8e4b47",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left( \\frac{u}{2} + 1, \\  \\frac{u}{2}\\right)$"
      ],
      "text/plain": [
       "⎛u      u⎞\n",
       "⎜─ + 1, ─⎟\n",
       "⎝2      2⎠"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "integrand1 = V.subs({x: r1[0], y: r1[1], z: r1[2]}).dot(r1d)\n",
    "integrand2 = V.subs({x: r2[0], y: r2[1], z: r2[2]}).dot(r2d)\n",
    "integrand1.simplify(), integrand2.simplify()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e1f803c9",
   "metadata": {},
   "source": [
    "Det tangentuelle kurveintegral langs ${\\mathcal K}_1$ findes altså som $\\displaystyle\\int_{{\\mathcal K}_1} \\pmb{V} \\cdot \\mathrm{d}\\pmb{s} = \\int_0^{4\\pi} \\frac{u}{2} + 1 \\,\\mathrm{d}u$, og langs ${\\mathcal K}_2$ findes det som $\\displaystyle\\int_{{\\mathcal K}_2} \\pmb{V} \\cdot \\mathrm{d}\\pmb{s} = \\int_0^{4\\pi} \\frac{u}{2} \\,\\mathrm{d}u$:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "57a1b4ea",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left( 4 \\pi + 4 \\pi^{2}, \\  4 \\pi^{2}\\right)$"
      ],
      "text/plain": [
       "⎛         2     2⎞\n",
       "⎝4⋅π + 4⋅π , 4⋅π ⎠"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Tan_K1=integrate(integrand1, (u, 0, 4 * pi))\n",
    "Tan_K2=integrate(integrand2, (u, 0, 4 * pi))\n",
    "Tan_K1,Tan_K2"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2867a92e",
   "metadata": {},
   "source": [
    "Vi får *ikke* samme resultat, hvilket betyder, at det tangentielle kurveintegral *afhænger af ruten*. Lærebogen fortæller om konsekvenserne af dette, fx at $\\boldsymbol V$ dermed ikke kan være et gradientvektorfelt (dvs., at den ikke har nogen stamfunktion)."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "415ca414",
   "metadata": {},
   "source": [
    "## Gradientvektorfelter og stamfunktionsbestemmelse"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0eaa9ec7",
   "metadata": {},
   "source": [
    "Hvis et glat vektorfelt er et *gradientvektorfelt*, så fortæller lærebogen os at:\n",
    "\n",
    "- det har en *stamfunktion* (altså, en funktion som den er gradient for).\n",
    "- et tangentielt kurveintegral af det langs enhver kurve fra origo til et vilkårligt punkt $\\pmb{x}$ vil være en stamfunktion.\n",
    "- tangentielle kurveintegraler af det er *uafhængige af ruten*.\n",
    "\n",
    "Det er altså brugbart at vide, om et vektorfelt er et gradientvektorfelt. Vi kan undersøge, om det er tilfældet, ved at beregne det tangentielle kurveintegral langs en hvilken som helst kurve, hvorefter vi kan tjekke, om første punkt i listen er opfyldt. Da vi kan vælge en hvilken som helst rute, er et ofte-benyttet valg en såkaldt *trappelinje*."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ab1e1f2c",
   "metadata": {},
   "source": [
    "### Trappelinjemetoden"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "76794de1",
   "metadata": {},
   "source": [
    "Lad os betragte et glat vektorfelt i $\\Bbb R^3$:\n",
    "\n",
    "\\begin{equation*}\n",
    "\\pmb{V}(x,y,z) = \\begin{bmatrix} V_1(x,y,z) \\\\ V_2(x,y,z) \\\\ V_3(x,y,z) \\end{bmatrix}.\n",
    "\\end{equation*}\n",
    "\n",
    "Ved *trappelinjen* ${\\mathcal T}$ fra origo $\\pmb{x}_0=(0,0,0)$ til et vilkårligt punkt $\\pmb{x}=(x,y,z)$ menes der ruten, du ville følge, hvis du skulle gå langs med $x$-aksen, så langs $y$-aksen og så langs $z$-aksen. Disse tre stykker er akseparallelle rette linjer og derfor nemme at parametrisere:\n",
    "\n",
    "$$\\boldsymbol r_1(u)=(u,0,0)\\,,\\,u\\in[0,x]\\\\\n",
    "\\boldsymbol r_2(u)=(x,u,0)\\,,\\,u\\in[0,y]\\\\\n",
    "\\boldsymbol r_3(u)=(x,y,u)\\,,\\,u\\in[0,z].$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "b03d7f83",
   "metadata": {},
   "outputs": [],
   "source": [
    "r1 = Matrix([u, 0, 0])\n",
    "r2 = Matrix([x, u, 0])\n",
    "r3 = Matrix([x, y, u])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e4665e75",
   "metadata": {},
   "source": [
    "For $(x,y,z)=(1,1,1)$ som et eksempelpunkt kan vi plotte trappelinjen:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "01ef6c16",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "u_range = (u, 0, 1)\n",
    "\n",
    "# Trappelinjens trin\n",
    "p1 = dtuplot.plot3d_parametric_line(u, 0, 0, u_range, show=False, rendering_kw={\"color\": \"red\"}, colorbar=False)\n",
    "p2 = dtuplot.plot3d_parametric_line(1, u, 0, u_range, show=False, rendering_kw={\"color\": \"red\"}, colorbar=False)\n",
    "p3 = dtuplot.plot3d_parametric_line(1, 1, u, u_range, show=False, rendering_kw={\"color\": \"red\"}, colorbar=False)\n",
    "\n",
    "# Punktet\n",
    "xyz = dtuplot.scatter(Matrix([1, 1, 1]), show=False, rendering_kw={\"color\": \"black\"})\n",
    "\n",
    "kombineret = p1 + p2 + p3 + xyz\n",
    "kombineret.legend = False\n",
    "kombineret.camera = {\"azim\": 37, \"elev\": 16}\n",
    "\n",
    "kombineret.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "85d81c71",
   "metadata": {},
   "source": [
    "Et tangentielt kurveintegral af $\\boldsymbol V$ langs en trappelinje ${\\mathcal T}$ kan findes som *summen* af de tangentielle kurveintegraler *langs hver* af de tre linjestykker. Og her ser vi fordelen ved trappelinjemetoden; deres tangentvektorer er nemlig meget simple:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "e04ad740",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left( \\left[\\begin{matrix}1\\\\0\\\\0\\end{matrix}\\right], \\  \\left[\\begin{matrix}0\\\\1\\\\0\\end{matrix}\\right], \\  \\left[\\begin{matrix}0\\\\0\\\\1\\end{matrix}\\right]\\right)$"
      ],
      "text/plain": [
       "⎛⎡1⎤  ⎡0⎤  ⎡0⎤⎞\n",
       "⎜⎢ ⎥  ⎢ ⎥  ⎢ ⎥⎟\n",
       "⎜⎢0⎥, ⎢1⎥, ⎢0⎥⎟\n",
       "⎜⎢ ⎥  ⎢ ⎥  ⎢ ⎥⎟\n",
       "⎝⎣0⎦  ⎣0⎦  ⎣1⎦⎠"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "r1d = r1.diff(u)\n",
    "r2d = r2.diff(u)\n",
    "r3d = r3.diff(u)\n",
    "r1d, r2d, r3d"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b83b9432",
   "metadata": {},
   "source": [
    "hvilket gør de tre integrander særdeles simple:\n",
    "\n",
    "\n",
    "\\begin{equation*}\n",
    "\\begin{aligned}\n",
    "\\pmb{V}(\\boldsymbol r_1(u)) \\cdot \\boldsymbol r_1'(u) = V_1(u,0,0),\\\\\n",
    "\\pmb{V}(\\boldsymbol r_2(u)) \\cdot \\boldsymbol r_2'(u) = V_2(x,u,0),\\\\\n",
    "\\pmb{V}(\\boldsymbol r_3(u)) \\cdot \\boldsymbol r_3'(u) = V_3(x,y,u).\n",
    "\\end{aligned}\n",
    "\\end{equation*}\n",
    "\n",
    "Vi er dermed nået frem til følgende formel for det tangentielle kurveintegral af $\\pmb{V}$ langs en trappelinje til et vilkårligt punkt i $\\Bbb R^3$:\n",
    "\n",
    "\\begin{equation*}\n",
    "\\int_{\\mathcal T} \\pmb{V} \\cdot \\mathrm{d}\\pmb{s} = \\int_0^x V_1(u,0,0) \\,\\mathrm{d}u + \\int_0^y V_2(x,u,0) \\,\\mathrm{d}u +\\int_0^z V_3(x,y,u) \\,\\mathrm{d}u.\n",
    "\\end{equation*}"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d7dd38c6",
   "metadata": {},
   "source": [
    "### Gradientfelt eller ej?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c9f36e2e",
   "metadata": {},
   "source": [
    "Vi ønsker at undersøge, hvorvidt følgende vektorfelt $\\pmb{V}$ er et gradientvektorfelt:\n",
    "\n",
    "\\begin{equation*}\n",
    "\\pmb{V}(x,y,z) = \\begin{bmatrix} y^2 + z \\\\ 2yz^2 + 2yx \\\\ 2y^2z + x \\end{bmatrix}.\n",
    "\\end{equation*}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "dc20cacc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}y^{2} + z\\\\2 x y + 2 y z^{2}\\\\x + 2 y^{2} z\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡     2        ⎤\n",
       "⎢    y  + z    ⎥\n",
       "⎢              ⎥\n",
       "⎢             2⎥\n",
       "⎢2⋅x⋅y + 2⋅y⋅z ⎥\n",
       "⎢              ⎥\n",
       "⎢         2    ⎥\n",
       "⎣  x + 2⋅y ⋅z  ⎦"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "V = Matrix([y**2 + z, 2 * y * z**2 + 2 * y * x, 2 * y**2 * z + x])\n",
    "V"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b060af13",
   "metadata": {},
   "source": [
    "Lad os finde det tangentielle kurveintegral af $\\pmb{V}$ langs trappelinjen til et vilkårligt punkt. Vi anvender formlen fra forrige afsnit og opdeler integrationen i tre bidder, hvis tre integrander bliver:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "ac524489",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left( 0, \\  2 u x, \\  2 u y^{2} + x\\right)$"
      ],
      "text/plain": [
       "⎛               2    ⎞\n",
       "⎝0, 2⋅u⋅x, 2⋅u⋅y  + x⎠"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "integrand1 = V[0].subs({x: u, y: 0, z: 0})\n",
    "integrand2 = V[1].subs({y: u, z: 0})\n",
    "integrand3 = V[2].subs({z: u})\n",
    "\n",
    "integrand1, integrand2, integrand3"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e95353db",
   "metadata": {},
   "source": [
    "Det tangentielle kurveintegral bliver:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "299d7ad5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle x y^{2} + x z + y^{2} z^{2}$"
      ],
      "text/plain": [
       "   2          2  2\n",
       "x⋅y  + x⋅z + y ⋅z "
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "F = (integrate(integrand1,(u,0,x)) + integrate(integrand2,(u,0,y)) + integrate(integrand3,(u,0,z)))\n",
    "F"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cadb383d",
   "metadata": {},
   "source": [
    "Dette er en funktion i $x,y,z$. Lad os finde dens gradient:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "d60c23c9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left( \\left[\\begin{matrix}y^{2} + z\\\\2 x y + 2 y z^{2}\\\\x + 2 y^{2} z\\end{matrix}\\right], \\  \\text{True}\\right)$"
      ],
      "text/plain": [
       "⎛⎡     2        ⎤      ⎞\n",
       "⎜⎢    y  + z    ⎥      ⎟\n",
       "⎜⎢              ⎥      ⎟\n",
       "⎜⎢             2⎥      ⎟\n",
       "⎜⎢2⋅x⋅y + 2⋅y⋅z ⎥, True⎟\n",
       "⎜⎢              ⎥      ⎟\n",
       "⎜⎢         2    ⎥      ⎟\n",
       "⎝⎣  x + 2⋅y ⋅z  ⎦      ⎠"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "F_grad = dtutools.gradient(F)\n",
    "F_grad, Eq(F_grad, V)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "48552788",
   "metadata": {},
   "source": [
    "Da $\\pmb{V}$ er identisk med gradienten af $F$, så er $F$ en stamfunktion til $\\pmb{V}$, og $\\pmb{V}$ er et gradientvektorfelt!"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ce5b778d",
   "metadata": {},
   "source": [
    "### Cirkulation i et gradientvektorfelt"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "52616b73",
   "metadata": {},
   "source": [
    "Betragt vektorfeltet $\\pmb{V}$ fra forrige afsnit samt følgende knude, parametriseret med $t \\in[-\\pi,\\pi]$:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "b9d02dd8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}\\frac{3 \\sin{\\left(2 t \\right)}}{2} - \\cos{\\left(t \\right)} - \\frac{\\cos{\\left(5 t \\right)}}{5}\\\\\\sin{\\left(t \\right)} - \\frac{\\sin{\\left(5 t \\right)}}{5} - \\frac{3 \\cos{\\left(2 t \\right)}}{2}\\\\\\cos{\\left(3 t \\right)}\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡3⋅sin(2⋅t)            cos(5⋅t)⎤\n",
       "⎢────────── - cos(t) - ────────⎥\n",
       "⎢    2                    5    ⎥\n",
       "⎢                              ⎥\n",
       "⎢         sin(5⋅t)   3⋅cos(2⋅t)⎥\n",
       "⎢sin(t) - ──────── - ──────────⎥\n",
       "⎢            5           2     ⎥\n",
       "⎢                              ⎥\n",
       "⎣           cos(3⋅t)           ⎦"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "t = symbols(\"t\")\n",
    "knude = (\n",
    "    Matrix([-10 * cos(t) - 2 * cos(5 * t) + 15 * sin(2 * t),\n",
    "            -15 * cos(2 * t) + 10 * sin(t) - 2 * sin(5 * t),\n",
    "            10 * cos(3 * t)])\n",
    "    *S(1)/10\n",
    ")\n",
    "knude"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "adc1a61f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<spb.backends.matplotlib.matplotlib.MatplotlibBackend at 0x7ff5ea390f50>"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dtuplot.plot3d_parametric_line(*knude, (t, -pi, pi), rendering_kw={\"color\": \"blue\"}, legend=False,colorbar=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5e363591",
   "metadata": {},
   "source": [
    "En knude er en *lukket kurve*. Tangentielle kurveintegraler langs lukkede kurver kaldes også *cirkulationer*. Lad os beregne det tangentielle kurveintegral af $\\pmb{V}$ langs denne knude. Udkommentér følgende kodelinje, og kør den, når du er klar - vær tålmodig, da dette integral kan tage mere end et minut for Sympy at udregne:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "c6752386",
   "metadata": {},
   "outputs": [],
   "source": [
    "#integrate(V.subs({x: knude[0], y: knude[1], z: knude[2]}).dot(knude.diff(t)), (t, -pi, pi))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "37523626",
   "metadata": {},
   "source": [
    "Du burde få resultatet $0$.\n",
    "\n",
    "Det tangentielle kurveintegral af et gradientfelt er uafhængigt af ruten og afhænger dermed kun af endepunkterne, $\\boldsymbol a$ og $\\boldsymbol b$. Integralregningens fundamentalsætning fortæller ligefrem for gradientvektorfelter, at:\n",
    "\n",
    "$$\\int_{\\mathcal K} \\pmb{V} \\cdot \\mathrm{d}\\pmb{s}=F(\\boldsymbol b)-F(\\boldsymbol a),$$\n",
    "\n",
    "hvor $F$ er en stamfunktion. Det er åbenlyst, at det tangentielle kurveintegral af et gradientvektorfelt langs en hvilken som helst *lukket* kurve *altid* vil være nul. Med andre ord, enhver cirkulation af et gradientvektorfelt er nul."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cc7ee20f",
   "metadata": {},
   "source": [
    "## Integralkurver (flowkurver)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cb009d0f",
   "metadata": {},
   "source": [
    "Forestil dig, at du til tiden $t=0$ slipper en partikel i et kraftvektorfelt i punktet $\\pmb{x}_0$. Hvordan vil denne partikel bevæge sig? Hvilken bane vil den følge? Banen vil være en kurve, hvis parameterfremstilling kan betegnes $\\pmb{r}(t)$, der kan fortolkes som positionen som funktion af tiden i et fysisk scenario. Et mere intuitivt billede kunne være en støvpartikel, der \"flyver omkring\" i vinden.\n",
    "\n",
    "Sådanne kurver kaldes *integralkurver* eller nogle gange *flowkurver*. Bemærk, at det i de ovenstående fysiske analogier er vigtigt, at partiklen opfattes som masseløs, så inertieffekter ikke har nogen indflydelse - en flowkurve er den rute, en partikel vil følge, hvis den *kun* er under indflydelse af vektorfeltet.\n",
    "\n",
    "Lærebogen fortæller, at flowkurver er løsninger til følgende differentialligningssystem:\n",
    "\n",
    "\\begin{equation*}\n",
    "  \\pmb{r}'(t) = \\pmb V(\\pmb{r}(t)), \\quad \\pmb{r}(0) = \\pmb{x}_0,\n",
    "\\end{equation*}\n",
    "\n",
    "hvor $\\pmb{x}_0$ er startpunktet.\n",
    "\n",
    "Betragt følgende vektorfelt i $\\Bbb R^2$:\n",
    "\n",
    "\\begin{equation*}\n",
    "  \\pmb{V}(x,y) = \\left[\\begin{matrix}-\\frac{1}{4}x + \\frac{1}{2}y\\\\\\frac{1}{2}x + \\frac{1}{4}y\\end{matrix}\\right].\n",
    "\\end{equation*}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "57bb21f9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}- \\frac{x}{4} + \\frac{y}{2}\\\\\\frac{x}{2} + \\frac{y}{4}\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡  x   y⎤\n",
       "⎢- ─ + ─⎥\n",
       "⎢  4   2⎥\n",
       "⎢       ⎥\n",
       "⎢ x   y ⎥\n",
       "⎢ ─ + ─ ⎥\n",
       "⎣ 2   4 ⎦"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x,y = symbols('x y')\n",
    "V = Matrix([-S(1)/4*x + S(1)/2*y,S(1)/2*x + S(1)/4*y])\n",
    "V"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b4e2c590",
   "metadata": {},
   "source": [
    "Lad to partikler $A$ og $B$ starte i punkterne hhv. $\\boldsymbol s_A$ og $\\boldsymbol s_B$:\n",
    "\n",
    "\\begin{equation*}\n",
    "  \\boldsymbol s_A = (5, 0),\\quad \\boldsymbol s_B = (-3, \\frac{1}{2}).\n",
    "\\end{equation*}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "79fea602",
   "metadata": {},
   "outputs": [],
   "source": [
    "sA, sB = Matrix([5, 0]), Matrix([-3, S(1)/2])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e3893d71",
   "metadata": {},
   "source": [
    "Det differentialligningssystem, der nu skal løses, er:\n",
    "\n",
    "\\begin{equation*}\n",
    "  \\begin{bmatrix}r_1'(t)\\\\r_2'(t)\\end{bmatrix} = \\begin{bmatrix}-\\frac{1}{4}r_1(t) + \\frac{1}{2}r_2(t)\\\\\\frac{1}{2}r_1(t) + \\frac{1}{4}r_2(t) \\end{bmatrix}\n",
    "  =\\begin{bmatrix}-\\frac{1}{4} & \\frac{1}{2}\\\\\\frac{1}{2} & \\frac{1}{4}\\end{bmatrix} \\begin{bmatrix}r_1(t)\\\\r_2(t)\\end{bmatrix}.\n",
    "\\end{equation*}\n",
    "\n",
    "hvor $\\boldsymbol r = (r_1,r_2)$. Anvendes begyndelsesværdibetingelsen $\\boldsymbol r(0)=\\boldsymbol s_A=(5,0)$, så dannes flowkurven for partikel $A$, mens $\\boldsymbol r(0)=\\boldsymbol s_B=(-3,\\frac12)$ danner flowkurven for $B$. \n",
    "\n",
    "Bemærk, at følgende tilgang til løsning af systemer af ordinære differentialligninger (eng: ordinary differential equations, ODEs) med Sympy blev behandlet i en Python-demo i kurset Matematik 1a. Har du brug for flere detaljer eller en langsommere gennemgang af metoden, vil vi referere dig dertil. \n",
    "\n",
    "Vi definerer systemets matrix:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "e44fcc72",
   "metadata": {},
   "outputs": [],
   "source": [
    "A = Matrix(2, 2, [S(\"-1/4\"), S(\"1/2\"), S(\"1/2\"), S(\"1/4\")])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "35084347",
   "metadata": {},
   "source": [
    "og opstiller de ubekendte koordinatfunktioner som Sympy-funktioner, hvorefter de differentieres, så vi kan opstille ovenstående matrixligning:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "0d14ff72",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}\\frac{r_{1}{\\left(t \\right)}}{4} - \\frac{r_{2}{\\left(t \\right)}}{2} + \\frac{d}{d t} r_{1}{\\left(t \\right)}\\\\- \\frac{r_{1}{\\left(t \\right)}}{2} - \\frac{r_{2}{\\left(t \\right)}}{4} + \\frac{d}{d t} r_{2}{\\left(t \\right)}\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡ r₁(t)   r₂(t)   d         ⎤\n",
       "⎢ ───── - ───── + ──(r₁(t)) ⎥\n",
       "⎢   4       2     dt        ⎥\n",
       "⎢                           ⎥\n",
       "⎢  r₁(t)   r₂(t)   d        ⎥\n",
       "⎢- ───── - ───── + ──(r₂(t))⎥\n",
       "⎣    2       4     dt       ⎦"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "r1 = Function('r1')\n",
    "r2 = Function('r2')\n",
    "r = Matrix([r1(t),r2(t)])\n",
    "\n",
    "dr = diff(r,t)\n",
    "\n",
    "ode_sys = dr - A * r\n",
    "ode_sys"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "db73b04f",
   "metadata": {},
   "source": [
    "Vi løser systemet med `dsolve`-kommandoen fra `dtutools` (bemærk, at vi flyttede alt over på venstresiden i `ode_sys = dr - A * r`, da `dsolve` antager en nul-højreside):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "0ec380d3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left\\{ r_{1}{\\left(t \\right)} : - \\frac{C_{1} \\left(1 - \\sqrt{5}\\right) e^{\\frac{\\sqrt{5} t}{4}}}{2} - \\frac{C_{2} \\left(1 + \\sqrt{5}\\right) e^{- \\frac{\\sqrt{5} t}{4}}}{2}, \\  r_{2}{\\left(t \\right)} : C_{1} e^{\\frac{\\sqrt{5} t}{4}} + C_{2} e^{- \\frac{\\sqrt{5} t}{4}}\\right\\}$"
      ],
      "text/plain": [
       "⎧                      √5⋅t                -√5⋅t                               ⎫\n",
       "⎪                      ────                ──────             √5⋅t       -√5⋅t ⎪\n",
       "⎪                       4                    4                ────       ──────⎪\n",
       "⎨         C₁⋅(1 - √5)⋅ℯ       C₂⋅(1 + √5)⋅ℯ                    4           4   ⎬\n",
       "⎪r₁(t): - ───────────────── - ───────────────────, r₂(t): C₁⋅ℯ     + C₂⋅ℯ      ⎪\n",
       "⎪                 2                    2                                       ⎪\n",
       "⎩                                                                              ⎭"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dtutools.dsolve(ode_sys)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ef561516",
   "metadata": {},
   "source": [
    "Dette udtryk beskriver de to koordinatfunktioner til enhver flowkurve. Vælges specifikke værdier til de ubekendte konstanter, så opnås én specifik flowkurve. Vi gør dette ved at tilføje den givne begyndelsesværdibetingelse med `ics`-argumentet:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "7f8faa2c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/latex": [
       "$\\displaystyle \\left\\{ r_{1}{\\left(t \\right)} : \\frac{\\left(5 - \\sqrt{5}\\right) e^{\\frac{\\sqrt{5} t}{4}}}{2} + \\frac{\\left(\\sqrt{5} + 5\\right) e^{- \\frac{\\sqrt{5} t}{4}}}{2}, \\  r_{2}{\\left(t \\right)} : \\sqrt{5} e^{\\frac{\\sqrt{5} t}{4}} - \\sqrt{5} e^{- \\frac{\\sqrt{5} t}{4}}\\right\\}$"
      ],
      "text/plain": [
       "⎧                 √5⋅t             -√5⋅t                               ⎫\n",
       "⎪                 ────             ──────             √5⋅t       -√5⋅t ⎪\n",
       "⎪                  4                 4                ────       ──────⎪\n",
       "⎨       (5 - √5)⋅ℯ       (√5 + 5)⋅ℯ                    4           4   ⎬\n",
       "⎪r₁(t): ────────────── + ────────────────, r₂(t): √5⋅ℯ     - √5⋅ℯ      ⎪\n",
       "⎪             2                 2                                      ⎪\n",
       "⎩                                                                      ⎭"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rA_losn = dtutools.dsolve(ode_sys, ics = {r1(0):sA[0], r2(0):sA[1]})\n",
    "rA_losn"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "7430b372",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left\\{ r_{1}{\\left(t \\right)} : - \\frac{\\left(15 - 4 \\sqrt{5}\\right) e^{\\frac{\\sqrt{5} t}{4}}}{10} - \\frac{\\left(4 \\sqrt{5} + 15\\right) e^{- \\frac{\\sqrt{5} t}{4}}}{10}, \\  r_{2}{\\left(t \\right)} : \\frac{\\left(5 - 11 \\sqrt{5}\\right) e^{\\frac{\\sqrt{5} t}{4}}}{20} + \\frac{\\left(5 + 11 \\sqrt{5}\\right) e^{- \\frac{\\sqrt{5} t}{4}}}{20}\\right\\}$"
      ],
      "text/plain": [
       "⎧                      √5⋅t                -√5⋅t                       √5⋅t    ↪\n",
       "⎪                      ────                ──────                      ────    ↪\n",
       "⎪                       4                    4                          4      ↪\n",
       "⎨         (15 - 4⋅√5)⋅ℯ       (4⋅√5 + 15)⋅ℯ               (5 - 11⋅√5)⋅ℯ        ↪\n",
       "⎪r₁(t): - ───────────────── - ───────────────────, r₂(t): ───────────────── +  ↪\n",
       "⎪                10                   10                         20            ↪\n",
       "⎩                                                                              ↪\n",
       "\n",
       "↪              -√5⋅t ⎫\n",
       "↪              ──────⎪\n",
       "↪                4   ⎪\n",
       "↪ (5 + 11⋅√5)⋅ℯ      ⎬\n",
       "↪ ───────────────────⎪\n",
       "↪         20         ⎪\n",
       "↪                    ⎭"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rB_losn = dtutools.dsolve(ode_sys, ics = {r1(0):sB[0], r2(0):sB[1]})\n",
    "rB_losn"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dde514f4",
   "metadata": {},
   "source": [
    "Vi udtrækker parameterkurverne:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "913ba60c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left( \\left[\\begin{matrix}\\frac{\\left(5 - \\sqrt{5}\\right) e^{\\frac{\\sqrt{5} t}{4}}}{2} + \\frac{\\left(\\sqrt{5} + 5\\right) e^{- \\frac{\\sqrt{5} t}{4}}}{2}\\\\\\sqrt{5} e^{\\frac{\\sqrt{5} t}{4}} - \\sqrt{5} e^{- \\frac{\\sqrt{5} t}{4}}\\end{matrix}\\right], \\  \\left[\\begin{matrix}- \\frac{\\left(15 - 4 \\sqrt{5}\\right) e^{\\frac{\\sqrt{5} t}{4}}}{10} - \\frac{\\left(4 \\sqrt{5} + 15\\right) e^{- \\frac{\\sqrt{5} t}{4}}}{10}\\\\\\frac{\\left(5 - 11 \\sqrt{5}\\right) e^{\\frac{\\sqrt{5} t}{4}}}{20} + \\frac{\\left(5 + 11 \\sqrt{5}\\right) e^{- \\frac{\\sqrt{5} t}{4}}}{20}\\end{matrix}\\right]\\right)$"
      ],
      "text/plain": [
       "⎛                                     ⎡               √5⋅t                -√5⋅ ↪\n",
       "⎜⎡          √5⋅t             -√5⋅t ⎤  ⎢               ────                ──── ↪\n",
       "⎜⎢          ────             ──────⎥  ⎢                4                    4  ↪\n",
       "⎜⎢           4                 4   ⎥  ⎢  (15 - 4⋅√5)⋅ℯ       (4⋅√5 + 15)⋅ℯ     ↪\n",
       "⎜⎢(5 - √5)⋅ℯ       (√5 + 5)⋅ℯ      ⎥  ⎢- ───────────────── - ───────────────── ↪\n",
       "⎜⎢────────────── + ────────────────⎥  ⎢         10                   10        ↪\n",
       "⎜⎢      2                 2        ⎥, ⎢                                        ↪\n",
       "⎜⎢                                 ⎥  ⎢              √5⋅t                -√5⋅t ↪\n",
       "⎜⎢          √5⋅t       -√5⋅t       ⎥  ⎢              ────                ───── ↪\n",
       "⎜⎢          ────       ──────      ⎥  ⎢               4                    4   ↪\n",
       "⎜⎢           4           4         ⎥  ⎢ (5 - 11⋅√5)⋅ℯ       (5 + 11⋅√5)⋅ℯ      ↪\n",
       "⎜⎣      √5⋅ℯ     - √5⋅ℯ            ⎦  ⎢ ───────────────── + ────────────────── ↪\n",
       "⎝                                     ⎣        20                   20         ↪\n",
       "\n",
       "↪ t ⎤⎞\n",
       "↪ ──⎥⎟\n",
       "↪   ⎥⎟\n",
       "↪   ⎥⎟\n",
       "↪ ──⎥⎟\n",
       "↪   ⎥⎟\n",
       "↪   ⎥⎟\n",
       "↪   ⎥⎟\n",
       "↪ ─ ⎥⎟\n",
       "↪   ⎥⎟\n",
       "↪   ⎥⎟\n",
       "↪ ─ ⎥⎟\n",
       "↪   ⎦⎠"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rA = Matrix([rA_losn[r1(t)], rA_losn[r2(t)]])\n",
    "rB = Matrix([rB_losn[r1(t)], rB_losn[r2(t)]])\n",
    "rA, rB"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f1f119c8",
   "metadata": {},
   "source": [
    "Et plot af de to kurver:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "c5c92f67",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "No ranges were provided. This function will attempt to find them, however the order will be arbitrary, which means the visualization might be flipped."
     ]
    },
    {
     "data": {
      "image/png": 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YYmQYhmGYVlhiZBiGYZhWWGJkGIZhmFZYYmQYhmGYVlhiZBiGYZhWWGJkGIZhmFZYYmQYhmGYVlhiZBiGYZhW/j/NON94AOfp+QAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "v_felt = dtuplot.plot_vector(A * Matrix([x, y]),n=10,scalar=False,colorbar=False,quiver_kw={\"color\": \"black\"},show=False)\n",
    "\n",
    "rA_plot = dtuplot.plot_parametric(\n",
    "    *rA, [t, 0, 3], rendering_kw={\"color\": \"red\"}, colorbar=False, show=False\n",
    ")\n",
    "rB_plot = dtuplot.plot_parametric(\n",
    "    *rB, (t, 0, 4), rendering_kw={\"color\": \"blue\"}, colorbar=False, show=False\n",
    ")\n",
    "\n",
    "(v_felt + rA_plot + rB_plot).show()"
   ]
  }
 ],
 "metadata": {
  "jupytext": {
   "text_representation": {
    "extension": ".md",
    "format_name": "myst",
    "format_version": 0.13,
    "jupytext_version": "1.15.0"
   }
  },
  "kernelspec": {
   "display_name": "python3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.13"
  },
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