{ "cells": [ { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.core.display import HTML\n", "css_file = './custom.css'\n", "HTML(open(css_file, \"r\").read())" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Python version: 3.10.6 (main, Nov 14 2022, 16:10:14) [GCC 11.3.0]\n", "Numpy version: 1.21.5\n", "Last Updated On: 2023-02-21 13:20:58.761298\n" ] } ], "source": [ "import sys #only needed to determine Python version number\n", "print(f'Python version: {sys.version}')\n", "\n", "import numpy as np #only needed to determine Numpy version number\n", "print(f\"Numpy version: {np.__version__}\")\n", "\n", "from datetime import datetime\n", "print('Last Updated On: ', datetime.now())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# M62_TP1 EDO : calcul approché VS formel." ] }, { "cell_type": "markdown", "metadata": { "toc": true }, "source": [ "

\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## ✨ Calcul approché avec la fonction `odeint` du module `SciPy`\n", "--- " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "L'ECUE M62 n'est qu'une introduction aux méthodes numériques d'approximation d'EDO en utilisant Python comme langage commun de programmation. \n", "Nous allons étudier, programmer et tester plusieurs méthodes numériques.\n", "\n", "Cependant toutes ces méthodes (et bien plus) se trouvent déjà dans le module `SciPy`. \n", "Bien sûr vous devez toujours faire un peu de programmation avec Python pour les utiliser et une compréhension des fondements de la méthode numérique que vous utilisez est toujours indispensables. \n", "\n", "Voyons sur trois exemples comment utiliser la fonction `odeint` du module `SciPy` pour approcher la solution d'abord d'une EDO ensuite d'un système d'EDO (ce qui inclut les équations différentielles d'ordre 2 ou plus)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Principe d'utilisation de `odeint`\n", "\n", "Le principe d’utilisation de `odeint` (pour intégrer numériquement des équations différentielles) est le suivant: pour avoir une estimation numérique de la solution du problème de \n", " $$\\begin{cases}\n", " \\mathbf{y}'(t)=\\boldsymbol{\\varphi}(t,\\mathbf{y}(t)),\\\\\n", " \\mathbf{y}(t_0)=\\mathbf{y}_0\n", " \\end{cases}$$\n", "avec $\\mathbf{y}(t)=(y_1(t),y_2(t),\\dots,y_n(t))$ le vecteur des fonctions recherchées, dépendant de la variable $t$ et $\\boldsymbol{\\varphi}=(\\varphi_1,\\varphi_2,\\dots,\\varphi_n)$ une fonction de forme quelconque, on donne comme argument la fonction $\\boldsymbol{\\varphi}$ (qui doit avoir deux paramètres, même dans le cas autonome), la condition initiale $\\mathbf{y}_0$ et les points de l'interval de temps où approcher la solution (qui commence à $t_0$). Elle retourne un tableau `Numpy` (même si $t$ était une liste).\n", "\n", "\n", "Cf. https://docs.scipy.org/doc/scipy-1.2.1/reference/generated/scipy.integrate.odeint.html\n", "\n", "Par défaut, l'ordre requis des deux premiers arguments de `func` est dans l'ordre inverse de celui classique. Pour utiliser une fonction avec la signature `func(t, y, ...)`, c'est-à-dire d'abord $t$ puis $y$, l'argument `tfirst` doit être défini à `True`.\n", "\n", "**Remarque:** la résolution de $y''(t)=F(t,y(t),y'(t))$ passera par celle du système différentiel\n", "$$\\begin{cases}\n", "y_1'(t)=y_2(t),\\\\\n", "y_2'(t)=F(t,y_1(t),y_2(t))\n", "\\end{cases}$$\n", "avec \n", "$y(t)=y_1(t)$, \n", "$y'(t)=y_1'(t)=y_2(t)$ \n", "et \n", "$\\varphi_1(t,y_1(t),y_2(t))=y_2(t)$, \n", "$\\varphi_2(t,y_1(t),y_2(t))=F(t,y_1(t),y_2(t))$. \n", "\n", "**Remarque:** SciPy propose une interface plus récente et plus personnalisable pour résoudre un problème de Cauchy, il s'agit de `solve_ivp`. L'avantage principal est que `solve_ivp` offre plusieurs méthodes pour résoudre les équations différentielles alors qu'`odeint` est limité à une seule. Cependant, la prise en main de `odeint` est plus simple et suffisante pour les objectifs de ce cours. \n", "\n", "Cf. https://docs.scipy.org/doc/scipy-1.2.1/reference/generated/scipy.integrate.solve_ivp.html\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exemple de résolution approchée d’une équation différentielle d'ordre 1\n", "\n", "En guise d’exemple, considérons le problème de Cauchy $y(0)=1$ et une équation logistique simple de la forme\n", "$$\n", "y'(t)=\\frac{3}{2} y(t) \\left( 1-\\frac{y(t)}{6} \\right). \n", "$$\n", "On crée alors la fonction $\\varphi$" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [], "source": [ "%reset -f\n", "%matplotlib inline\n", "from matplotlib.pylab import * # importe aussi numpy sans alias\n", "# rcdefaults()\n", "rcParams.update({'font.size': 16})\n", "from scipy.integrate import odeint" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "La fonction `odeint` peut être appelée avec au minimum trois arguments: \n", "- `func`: la fonction $\\varphi$, \n", "- `y0`: la valeur $y(t_0)$, \n", "- `t`: le vecteur (qui commence à $t_0$) où la fonction $y$ sera évaluée.\n", "\n", "Elle renvoi un vecteur `sol` contenant l'évaluation de la solution en les points du vecteur $t$.\n", "\n", "Nota bene: par défaut la fonction $\\varphi$ doit avoir $t$ comme deuxième variable, mais on retrouve l'ordre usuel avec le paramètre `tfirst=True`." ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [], "source": [ "# def phi(t,y):\n", "# return 1.5*y*(1-y/6)\n", "# ou \n", "\n", "phi = lambda t,y : 1.5*y*(1-y/6)" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [], "source": [ "t0 = 0\n", "y0 = 1\n", "tt = linspace(t0,5,201)\n", "# sol = odeint(func=phi,y0=y0,t=tt,tfirst=True) # Appel avec arguments nommés: 4 paramètres, passées dans n'importe quel ordre\n", "sol = odeint(phi,y0,tt,tfirst=True) # Appel classique: 4 paramètres, passées selon l'ordre" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "La solution peut alors être tracée simplement " ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "figure(figsize=(10,7))\n", "plot(tt,sol)\n", "xlabel('t')\n", "ylabel('y')\n", "grid();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "NB: le nombre de points en lesquels les résultats sont évalués n’est pas (du moins directement) relié à la précision des calculs internes (ne pas imaginer que cela fixe le pas de la méthode, en particulier)." ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "#### Champ de vecteurs et lignes de courant\n", "\n", "Bien qu'il soit trés rare que l'on puisse résoudre explicitement une équation différentielle donnée, on peut souvent avoir une idée de l’allure des graphes des solutions en observant le champs de vecteurs associé. \n", "En effet le graphe d'une solution de l'équation $y'(t)=\\varphi(t,y(t))$ est par définition tangent à son vecteur vitesse $(1,y'(t))$ et donc au vecteur $(1, \\varphi(t,y(t))$. \n", "La connaissance de la fonction $\\varphi$ en chaque point $(t,y)$ permet donc de représenter facilement ces vecteurs tangents même si l'on ne connait pas les solutions. \n", "Et si l'on en trace un grand nombre, uniformément répartis dans le plan $(t, y)$, on obtient une représentation\n", "du champ de vecteurs associé à l'équation différentielle qui permet souvent de deviner les graphes des solutions puisqu'il s'agit des courbes qui sont tangentes en tous leurs points aux vecteurs de ce champs de vecteurs. \n", "Il est alors intéressant d'y superposer la solution numérique obtenue avec `odeint`.\n", "\n", "- La fonction `quiver` du module `matplotlib` permet de tracer un champ de vecteurs:\n", "`quiver(x_pos, y_pos, x_dir, y_dir, color)`\n", "- La fonction `streamplot` permet de tracer des lignes de courant représentant un champ vectoriel. \n", "\n", "Utilisons-les pour obtenir les tracés associés à notre équation différentielle.\n", "La courbe rouge est la solution déterminée par `odeint`. " ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# define a grid \n", "g1 = linspace(0,5,21)\n", "g2 = linspace(0,8,21)\n", "T,Y = meshgrid(g1,g2) # create a grid\n", "\n", "# compute direction at each point\n", "DT, DY = 1, phi(T,Y) # compute growth rate on the grid\n", "# M = sqrt(DT**2+DY**2) # norm growth rate \n", "M = hypot(DT,DY)\n", "\n", "figure(figsize=(20,7))\n", "\n", "# Champ des pentes\n", "subplot(1,2,1)\n", "# quiver(T,Y, DT/M, DY/M, M, pivot='mid')\n", "quiver(T,Y, DT/M, DY/M, M, cmap=cm.viridis, scale_units='xy',scale=3.)\n", "# https://matplotlib.org/stable/api/_as_gen/matplotlib.pyplot.quiver.html\n", "plot(tt,sol,'r', lw=4)\n", "grid()\n", "xlabel('t')\n", "ylabel('y')\n", "title('Champ des pentes');\n", "\n", "# Lignes de courant\n", "subplot(1,2,2)\n", "# streamplot(T,Y, DT/M, DY/M, color=M)\n", "streamplot(T,Y, DT/M, DY/M, color=M, linewidth=1, cmap=cm.viridis, density=2, arrowstyle='->', arrowsize=1.5)\n", "# cf. https://matplotlib.org/stable/tutorials/colors/colormaps.html\n", "plot(tt,sol,'r', lw=4)\n", "grid()\n", "xlabel('t')\n", "ylabel('y')\n", "title('Lignes de courant');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exemple de résolution approchée d’un système d'équations différentielles d'ordre 1\n", "\n", "Considérons deux espèces: une proie (des lièvres par exemple) et un prédateur (des lynx par exemple). \n", "Ces deux populations sont représentées par $y_1(t)$ et $y_2(t)$ des fonctions continues du temps $t$. \n", "Si on suppose qu’il n’y a aucune autre intervention extérieur, une modélisation possible pour ce genre de système a été proposée indépendamment par Alfred James Lotka en 1925 et Vito Volterra en 1926:\n", "$$\n", "\\begin{cases}\n", "y_1'(t) = y_1(t)(a-by_2(t)) &[\\stackrel{\\text{déf}}{=}\\varphi_1(y_1(t),y_2(t),t)] \\quad\\text{équation équation des proies}\\\\\n", "y_2'(t) =-y_2(t)(c-dy_1(t)) &[\\stackrel{\\text{déf}}{=}\\varphi_2(y_1(t),y_2(t),t)] \\quad\\text{équation équation des prédateurs}\n", "\\end{cases}\n", "$$\n", "soit encore, en notation matricielle, \n", "\n", "$$\\begin{pmatrix}\n", " y_1\\\\\n", " y_2\n", " \\end{pmatrix}'(t)\n", " =\n", " \\begin{pmatrix}\n", " \\varphi_1(y_1(t),y_2(t),t)\\\\\n", " \\varphi_2(y_1(t),y_2(t),t)\n", " \\end{pmatrix}.$$\n", "\n", "On suppose qu’à ce jour il y a $y_1(0)=2$ unités de proies (une unités = $1000$ animaux) et $y_2(0)=1$ unités de prédateurs et on se demande comment vont évoluer les populations de ces deux espèces. \n", "Pour les simulations on prendra $a=2$, $b=1$, $c=1$ et $d=0.3$. \n", "\n", "Soit $\\mathbf{y}(t)\\stackrel{\\text{déf}}{=}(y_1(t),y_2(t))$ le vecteur des deux fonctions inconnues. \n", "On commence par créer la fonction vectorielle \n", "$$\n", "\\boldsymbol{\\varphi}(\\mathbf{y},t)=(\\varphi_1(\\mathbf{y},t),\\varphi_2(\\mathbf{y},t))\n", "$$" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "%reset -f\n", "%matplotlib inline\n", "from matplotlib.pylab import * # importe aussi numpy sans alias\n", "# rcdefaults()\n", "rcParams.update({'font.size': 16})\n", "from scipy.integrate import odeint" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "# yy est une liste a deux composantes\n", "pphi = lambda t,yy : [ yy[0]*(2-yy[1]) , -yy[1]*(1-0.3*yy[0]) ]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "En faisant varier le temps sur l'intervalle $[0;20]$ et en prenant comme condition initiale le vecteur $\\mathbf{y}_0=(2,1)$ on écrit" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "t0 = 0\n", "yy0 = [2,1]\n", "tt = linspace(t0,20,201)\n", "\n", "# V1\n", "# odeint revoie une matrice, la colonne j contient l'approximation de la j-ème composante de la fonction inconnue\n", "sol = odeint(pphi,yy0,tt,tfirst=True)\n", "sol_1 = sol[:,0] # [y_1(t) for t in tt]\n", "sol_2 = sol[:,1] # [y_2(t) for t in tt]\n", "\n", "# V2\n", "# Pour que odeint renvoit séparément les valeurs de la solution, il faut rajouter .T à la fin\n", "sol_1,sol_2 = odeint(pphi,yy0,tt,tfirst=True).T" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Le tracé des évolutions de $y_1$ et $y_2$ en fonction du temps $t$ peut être obtenu par " ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "figure(figsize=(10,7))\n", "plot(tt,sol_1,tt,sol_2)\n", "grid()\n", "xlabel('t')\n", "ylabel('y')\n", "legend([r\"$y_1(t)$ proies\",\"$y_2(t)$ prédateurs\"]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Le tracé des évolutions de $y_2$ en fonction de $y_1$ peut être obtenu par" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "Y1,Y2 = meshgrid(linspace(min(sol_1),max(sol_1),21),linspace(min(sol_2),max(sol_2),21))\n", "V1,V2 = pphi(tt,[Y1,Y2]) \n", "r1 = sqrt(1+V1**2)\n", "r2 = sqrt(1+V2**2)\n", "\n", "figure(figsize=(10,7))\n", "quiver(Y1, Y2, V1/r1, V2/r2, cmap=cm.viridis, scale_units='xy',scale=4.)\n", "plot(sol_1,sol_2)\n", "grid()\n", "xlabel(r'$y_1$')\n", "ylabel(r'$y_2$');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Considérons la fonction\n", "$$\n", "E(t)=dy_1(t)+by_2(t)-c\\ln(y_1(t))-a\\ln(y_2(t))\n", "$$\n", "Vérifions analytiquement que la fonction $E$ est une intégrale première du système, c’est-à-dire que si $(y_1, y_2)$ est une solution alors l’application $E$ est constante:\n", "\\begin{align}\n", "E'(t)\n", "&=dy_1'(t)+by_2'(t)-\\frac{c}{y_1(t)}y_1'(t)-\\frac{a}{y_2(t)}y_2'(t)\n", "\\\\\n", "&=\\left(d-\\frac{c}{y_1(t)}\\right)y_1'(t)+\\left(b-\\frac{a}{y_2(t)}\\right)y_2'(t)\n", "\\\\\n", "&=\\left(d-\\frac{c}{y_1(t)}\\right)y_1(t)(a-by_2(t))-\\left(b-\\frac{a}{y_2(t)}\\right)y_2(t)(c-dy_1(t))\n", "\\\\\n", "&=(dy_1(t)- c)(a-by_2(t))-(by_2(t)-a)(c-dy_1(t))\n", "\\\\\n", "&=(dy_1(t)- c)(a-by_2(t))-(a-by_2(t))(dy_1(t)- c)\n", "=0.\n", "\\end{align}\n", "Vérifions cette propriété numériquement:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "7.942278004158254e-07\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "figure(figsize=(10,7))\n", "# valeur pour t=0\n", "E0 = 0.3*yy0[0]+yy0[1]-log(yy0[0])-2*log(yy0[1])\n", "plot([tt[0],tt[-1]],[E0,E0])\n", "\n", "EE = 0.3*sol_1+sol_2-log(sol_1)-2*log(sol_2)\n", "print(max(abs(EE-E0)))\n", "plot(tt,EE)\n", "xlabel('t')\n", "ylabel('E')\n", "grid();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exemple de résolution approchée d’une équation différentielle d'ordre 2\n", "\n", "Considérons l'EDO $y''(t)=-\\sin(y(t))$ qui décrit le mouvement d'un pendule non amorti, équivalente au système différentiel\n", "$$\n", "\\begin{cases}\n", "y_1'(t)=y_2(t),\\\\\n", "y_2'(t)=-\\sin(y_1(t))\n", "\\end{cases}\n", "$$\n", "avec $y(0)=0$ et $y'(0)=1$. " ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "%reset -f\n", "%matplotlib inline\n", "from matplotlib.pylab import * # importe aussi numpy sans alias\n", "# rcdefaults()\n", "rcParams.update({'font.size': 16})\n", "from scipy.integrate import odeint" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "pphi = lambda t,yy : [ yy[1], -sin(yy[0]) ]\n", "\n", "t0 = 0\n", "yy0 = [0,1]\n", "tt = linspace(t0,10,1001)\n", "sol_1, sol_2 = odeint(pphi,yy0,tt,tfirst=True).T\n", "\n", "figure(figsize=(18,7))\n", "\n", "subplot(1,2,1)\n", "plot(tt,sol_1,tt,sol_2)\n", "xlabel('t')\n", "ylabel('y')\n", "grid()\n", "\n", "subplot(1,2,2)\n", "plot(sol_1,sol_2)\n", "axis('square')\n", "xlabel(r'$y_1$')\n", "ylabel(r'$y_2$')\n", "grid()\n", "axis('equal');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Considérons l'énergie suivante (somme de l'énergie potentielle et de l'énergie cinétique):\n", "$$\n", "E(t)=-\\cos(y_1(t))+\\frac{1}{2}(y_2(t))^2\n", "$$\n", "Vérifions analytiquement que la fonction $E$ est conservée au cours du temps:\n", "\\begin{align}\n", "E'(t)\n", "&=\\sin(y_1(t))y_1'(t)+y_2(t)y_2'(t)\n", "\\\\\n", "&=-y_2'(t)y_1'(t)+y_1'(t)y_2'(t)\n", "=0.\n", "\\end{align}\n", "Vérifions cette propriété numériquement:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "9.448590565508397e-08\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "figure(figsize=(10,7))\n", "# valeur pour t=0\n", "E0 = -cos(yy0[0])+yy0[1]**2/2\n", "plot([tt[0],tt[-1]],[E0,E0])\n", "\n", "EE = -cos(sol_1)+sol_2**2/2\n", "print(max(abs(EE-E0)))\n", "plot(tt,EE)\n", "xlabel('t')\n", "ylabel('E')\n", "grid(); " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 🐍 Calcul analytique avec le module `sympy`\n", "--- \n", "https://docs.sympy.org/latest/modules/solvers/ode.html" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "%reset -f\n", "%matplotlib inline\n", "\n", "import sympy as sym\n", "sym.init_printing()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exemple de résolution analytique d’une équation différentielle d'ordre 1\n", "\n", "Considérons le problème de Cauchy\n", "$$\\begin{cases}\n", "u'(x)=-3x^2u(x)+6x^2,\\\\\n", "u(0)=4.\n", "\\end{cases}$$" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/latex": [ "$\\displaystyle \\frac{d}{d x} u{\\left(x \\right)} = - 3 x^{2} u{\\left(x \\right)} + 6 x^{2}$" ], "text/plain": [ "d 2 2\n", "──(u(x)) = - 3⋅x ⋅u(x) + 6⋅x \n", "dx " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = sym.Symbol('x')\n", "u = sym.Function('u')\n", "left = sym.diff(u(x),x)\n", "right = 6*x**2-3*x**2*u(x)\n", "edo = sym.Eq( left , right )\n", "display(edo)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/latex": [ "$\\displaystyle u{\\left(x \\right)} = C_{1} e^{- x^{3}} + 2$" ], "text/plain": [ " 3 \n", " -x \n", "u(x) = C₁⋅ℯ + 2" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "solgen = sym.dsolve(edo,u(x))\n", "display(solgen)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Prise en compte des conditions initiales:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/latex": [ "$\\displaystyle \\left\\{ C_{1} : 2\\right\\}$" ], "text/plain": [ "{C₁: 2}" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x0 = 0\n", "u0 = 4\n", "consts = sym.solve( sym.Eq( u0, solgen.rhs.subs(x,x0)) , dict=True)[0]\n", "consts" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/latex": [ "$\\displaystyle u{\\left(x \\right)} = 2 + 2 e^{- x^{3}}$" ], "text/plain": [ " 3\n", " -x \n", "u(x) = 2 + 2⋅ℯ " ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "solpar = solgen.subs(consts)\n", "solpar" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "On transforme le résultat en une fonction vectorisée :" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "func = sym.lambdify(x,solpar.rhs,'numpy')" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from matplotlib.pylab import *\n", "# rcdefaults()\n", "rcParams.update({'font.size': 16})\n", "figure(figsize=(10,7))\n", "xx=linspace(0,3,101)\n", "yy=func(xx)\n", "plot(xx,yy)\n", "xlabel('x')\n", "ylabel('u')\n", "grid();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exemple de résolution analytique d’un système d'équations différentielles d'ordre 1\n", "\n", "$$\n", " \\begin{pmatrix}\n", " y_1\\\\\n", " y_2\n", " \\end{pmatrix}'(t)\n", " =\n", " \\begin{pmatrix}\n", " \\varphi_1(t, y_1(t),y_2(t))\\\\\n", " \\varphi_2(t, y_1(t),y_2(t))\n", " \\end{pmatrix}\n", " =\n", " \\begin{pmatrix}\n", " y_1(t)-y_2(t)\\\\\n", " y_2(t)-y_1(t)\n", " \\end{pmatrix}.\n", "$$\n", "avec $t\\in[0;10]$ et en prenant comme condition initiale le vecteur $\\mathbf{y}_0=(2,1)$." ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAANkAAAArCAYAAAD15C1kAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAHz0lEQVR4Ae2d63HVOBTHbzIpIMt2kO0gDBXs0gGPCoAOYPZT8i0TOghUwEIHQAU8OggdhEkH2f/PkTy2r62Hr3xfPppRZEtHR9LfOjpHx/LNwd3d3SI1nJ+fn4r2veKJ4n+6f5Va1+gMgbkicJQzcAnVT9E/VIpkfs6pa7SGwFwROMwduATsH1fnS25dozcE5ohAtpAJpMeKvyRst3MEzMZsCOQiMEbI0GSmxXKRNvrZIhDck0lb4eC4VPyleKOIcOH8uFC0YAgYAgkIDAqZ23t9FA8cHQjZQql3dpgmSwDXSAwBEOg1FyVMxypDwN54AYNYAWH7qTzbj1Vw2B9DII5Ar5CpGibisYTpXYeF7cc6gNitIRBDYEjInqliyyR02o09mjcZY7yt3BAwBITAkpA5YcJc7AoTgrdQeUv4yLNgCBgCwwgsCVmDtHJ2NO55P8aJDwTtiSJazYIhYAhEEFgSMgkPTg20VS1ECJXucd1/VyQ8Vl5XCO9LtuRvziKQQ7slwyvejVQMUumKd3DDDFPH3Ue3JGRuLE+VPlKF14r+PRma7AF5Sq8c3VYmro8sCqnhxNVJpd8ruky8ZofVqvgc5JzC34WZJUDQuiwQb3L664C8Vdr1qOaw2TnaMXjNCasS+OyVkAkQHDZflT4cmu2O5ofKl0xelZH/t9JZvAd0WAziNXesSuEzZC4OzdFtz8e0jZmyvOtjv/m7ZzDUhcdcQgyvuWNVBJ99E7JnWn1i5t7gVwSuLjzQiHMIMbzmjlURfPZGyCQY7MVSPJ6szp8CEgSP6p1ggGbnixLxmi1WJfE5WsdsUYdfqh1+qgCPH/udC+W9VbpQyhlJLyCclQwJAFWGAqtu74ty8WSy0D4aClPx1LX7TWnVD+X5AA94xTSipy+aqj/rwIo+9+K1C1itCaNi+KzV8SFwrvVwOWDMK4I66P6H4qCzoiYMXMBDxVdKB4VDZQjzR6UHQ6xUVk1ypdH+iIY9HAKcE5bG31dZvCfDivbEP4iXyoti1TfGVfOmxKgkPmvRZA0wK8eCBsDh48qDp7TU92loqT5nRqP5avWuTq00MzvX8EDbRYP6PuUPCU2JFWOL4cVKXgyrKJjjCKbEqBg+6xYytAweG7SFN9Oea7IuvdNSHoNkb/RK11GtIroHireKoYDWiZmj7Mloe9NhSqwYWwyvYli5Z/lVbebg+lT1YkKehJFr/1/3QP0C+kL5oflSDJ8jNZT+m3Cul0OJeA2aYdRhUIoAw4Df6hrQbxRbQfloNx4yIefB3Nfo+evaAuDuwecudQzcLv0k9+rv3mDFWARSykKZhWUqRmJ6Kdra6tA1GhBz+a+sBh2x6jMnk+cSQhYUjDGdiNSpNJnaxeanowhdK6iMFYy9CzSpATMvJJCV0Ipn7RzRdW22NhqBB7yiQfV5WH4xiNI7gqQ9maOdCivYh/AqjpUbzxRJFCM1+lLPir24f/a+Dg4w5lpfKIbPUR/3KfM0KH7pisGizb7omlWuRMDM86ZAH7/WHkPtIsDU6YKMJiM/GsSjXh2jxCMIxH8qrOhNCK/iWI0YflKVRIx4Tv5wexJfERXDZ+1C5kaIBsB1/8Ldl0gQlkcBRrXw6MFU6l5p3/4Ms6YreAG2kxdNgRWdDuG1a1gFMdJz7lpLCB0LWOg5F8PncPIp0tOAm9xosdAge2oGsz6o9DRAgXMF8xCnC2/yveOlWwVTKbZv69aZ7H4irOhvCK+dwioHI9EyR7BiYnvEcvhwCn/d8ezs7FTxSaxdaBSvY3S+HFrFU3+fm6ruSU57ufzH0DMexeJY0RfGCv+R/doarDIwos+fFY9Txiy6IvgEzUUn9e8l9ex1Rv+DCccHV7zfw/S67dXGqoENLW34dnL5sYLDY2NhjVgxxlXw2hhWYzBSHeYwJ4rYby7cPWlo/10En6C5qA7gCUOtsodpmVDKx/S6VqTzsfBcBP43QlDX32IVxpSrL9jefFSY0qdWE64Odbv2e4tuDTdrwYpxuLFm47UFWGVh5PrLvo0TQXgUmYMsEr8VB4PoRs0n1149l4KajNZVgT0Kwbs/7+/uXddM5mBHHfGFUoSSr6pvlQYnssrhizaibTrLinKjdGgfpeI6cGQLp0q1YtW58QsewlgNGOeeTrFOrOjVGLw2jVUWRhoj78RQFKR10HxKed6r4xOzTWWXXmKbdumUd9WX36XbxL36he39OrVtaKmTSr9vdDl4zRGrVfGJHhCWtCP937tSr3sOsH5Sitq1YAgYAgMItMxFCQxmGqYZm8EbRUxE7FfU80LlmG+o2Oo9k9LQJyMqtmAIGAK1JnMCxF6m+w8mEKw/VH7r4dI17xmCn4x4WksNgbkjcAgAEho0EwKGi7Pp0uQaD2MtYLontI7d3GfZX0PAEOhDoBIyFWAi4v3rev3QYl2vInyG8imzYAgYAg0EvJDxDqslTE67sUdbej+mvKX8Bk+7NAQMgQYCh06YMBdbwqR7//K4JXzKR4stVK/OdzzItmAIGAIdBLwmI7u5F+O+3ndJiJr/YKLOh4gyJWg2C4aAIdCDAJoMpwZaqRYUJzi47v03OM1f232g/EogRYcG5ERGydP0YmnBENgfBCoXvhMWDgJzpvBPxQ+KCB8OEfLqz1JEizD673cWuu86S1RswRAwBDwC/wMYJnwCWD3U9QAAAABJRU5ErkJggg==", "text/latex": [ "$\\displaystyle \\frac{d}{d t} \\operatorname{y_{1}}{\\left(t \\right)} = \\operatorname{y_{1}}{\\left(t \\right)} - \\operatorname{y_{2}}{\\left(t \\right)}$" ], "text/plain": [ "d \n", "──(y₁(t)) = y₁(t) - y₂(t)\n", "dt " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "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", "text/latex": [ "$\\displaystyle \\frac{d}{d t} \\operatorname{y_{2}}{\\left(t \\right)} = - \\operatorname{y_{1}}{\\left(t \\right)} + \\operatorname{y_{2}}{\\left(t \\right)}$" ], "text/plain": [ "d \n", "──(y₂(t)) = -y₁(t) + y₂(t)\n", "dt " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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"text/latex": [ "$\\displaystyle \\left[ \\operatorname{y_{1}}{\\left(t \\right)} = C_{1} - C_{2} e^{2 t}, \\ \\operatorname{y_{2}}{\\left(t \\right)} = C_{1} + C_{2} e^{2 t}\\right]$" ], "text/plain": [ "⎡ 2⋅t 2⋅t⎤\n", "⎣y₁(t) = C₁ - C₂⋅ℯ , y₂(t) = C₁ + C₂⋅ℯ ⎦" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%reset -f\n", "%matplotlib inline\n", "\n", "import sympy as sym\n", "sym.init_printing()\n", "\n", "t = sym.Symbol('t')\n", "\n", "y1 = sym.Function('y1')\n", "y2 = sym.Function('y2')\n", "\n", "right1 = y1(t)-y2(t)\n", "right2 = y2(t)-y1(t)\n", "\n", "edo1 = sym.Eq( sym.diff(y1(t),t) , right1 )\n", "edo2 = sym.Eq( sym.diff(y2(t),t) , right2 )\n", "display(edo1)\n", "display(edo2)\n", "\n", "solgen = sym.dsolve([edo1,edo2],[y1(t),y2(t)])\n", "display(solgen)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/latex": [ "$\\displaystyle \\left\\{ C_{1} : \\frac{3}{2}, \\ C_{2} : - \\frac{1}{2}\\right\\}$" ], "text/plain": [ "{C₁: 3/2, C₂: -1/2}" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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"text/latex": [ "$\\displaystyle \\operatorname{y_{1}}{\\left(t \\right)} = \\frac{e^{2 t}}{2} + \\frac{3}{2}$" ], "text/plain": [ " 2⋅t \n", " ℯ 3\n", "y₁(t) = ──── + ─\n", " 2 2" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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"text/latex": [ "$\\displaystyle \\operatorname{y_{2}}{\\left(t \\right)} = \\frac{3}{2} - \\frac{e^{2 t}}{2}$" ], "text/plain": [ " 2⋅t\n", " 3 ℯ \n", "y₂(t) = ─ - ────\n", " 2 2 " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "t0 = 0\n", "y1_0 = 2\n", "y2_0 = 1\n", "consts = sym.solve( [sym.Eq( y1_0, solgen[0].rhs.subs(t,t0)) , \n", " sym.Eq( y2_0, solgen[1].rhs.subs(t,t0)) ] , dict=True)[0]\n", "display(consts)\n", "\n", "solpar_1 = solgen[0].subs(consts)\n", "solpar_2 = solgen[1].subs(consts)\n", "display(solpar_1)\n", "display(solpar_2)\n", "\n", "func_1 = sym.lambdify(t,solpar_1.rhs,'numpy')\n", "func_2 = sym.lambdify(t,solpar_2.rhs,'numpy')\n", "\n", "from matplotlib.pylab import *\n", "# rcdefaults()\n", "rcParams.update({'font.size': 16})\n", "figure(figsize=(18,7))\n", "\n", "tt = linspace(0,3,101)\n", "yy_1 = func_1(tt)\n", "yy_2 = func_2(tt)\n", "\n", "subplot(1,2,1)\n", "plot(tt,yy_1,tt,yy_2)\n", "legend([r'$y_1$',r'$y_2$'])\n", "xlabel(r'$t$')\n", "ylabel(r'$y$')\n", "\n", "subplot(1,2,2)\n", "plot(yy_1,yy_2)\n", "xlabel(r'$y_1$')\n", "ylabel(r'$y_2$');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## ✍ Exercices" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 🐍 Exercice (sympy)\n", ">Calculer la solution **exacte** du problème de Cauchy \n", "$$\\begin{cases}\n", "y'(t)=\\dfrac{3}{2} y(t) \\left( 1-\\dfrac{y(t)}{6} \\right),& t>0\\\\\n", "y(0)=1.\n", "\\end{cases}$$\n", "Que vaut $\\lim_\\limits{t\\to\\infty}y(t)$?" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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R4qoI6xmVWxoUDxgcqHJA8uIeqfDM24DKCBJhEAYEHHAWlKLw7Mm9/8QLhgbM8+UgUadkMBZmDKhyQPJCUCj3nwOQo9JLL1W654qwFcN42wcr6ZXMKh2MdNaTf5bknnleqtwos8qMGxzUnSufxrxm4IDkBBkjKMSTgPRtsWcqG4GihM/uMQuuxlsxiLdyHui60oWldP/MJmQm4fCWT7+ENmBwIOIAxyiU1Hw2GNXsfnyfVN/N2/8BsZY9ZW1BfzAAAAAASUVORK5CYII=", "text/latex": [ "$\\displaystyle \\frac{d}{d t} y{\\left(t \\right)} = \\frac{3 \\left(1 - \\frac{y{\\left(t \\right)}}{6}\\right) y{\\left(t \\right)}}{2}$" ], "text/plain": [ " ⎛ y(t)⎞ \n", " 3⋅⎜1 - ────⎟⋅y(t)\n", "d ⎝ 6 ⎠ \n", "──(y(t)) = ─────────────────\n", "dt 2 " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", "text/latex": [ "$\\displaystyle \\left[ y{\\left(t \\right)} = \\frac{6 \\left(- e^{3 t} + \\sqrt{e^{C_{1} + 3 t}}\\right)}{e^{C_{1}} - e^{3 t}}, \\ y{\\left(t \\right)} = - \\frac{6 \\left(e^{3 t} + \\sqrt{e^{C_{1} + 3 t}}\\right)}{e^{C_{1}} - e^{3 t}}\\right]$" ], "text/plain": [ "⎡ ⎛ ___________⎞ ⎛ ___________⎞ ⎤\n", "⎢ ⎜ 3⋅t ╱ C₁ + 3⋅t ⎟ ⎜ 3⋅t ╱ C₁ + 3⋅t ⎟ ⎥\n", "⎢ 6⋅⎝- ℯ + ╲╱ ℯ ⎠ -6⋅⎝ℯ + ╲╱ ℯ ⎠ ⎥\n", "⎢y(t) = ───────────────────────────, y(t) = ───────────────────────────⎥\n", "⎢ C₁ 3⋅t C₁ 3⋅t ⎥\n", "⎣ ℯ - ℯ ℯ - ℯ ⎦" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%reset -f\n", "%matplotlib inline\n", "\n", "import sympy as sym\n", "sym.init_printing()\n", "\n", "t = sym.Symbol('t')\n", "y = sym.Function('y')\n", "right = sym.Rational(3,2)*y(t)*(1-y(t)/6)\n", "edo = sym.Eq( sym.diff(y(t),t) , right )\n", "display(edo)\n", "solgenLIST = sym.dsolve(edo,y(t))\n", "display(solgenLIST)" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": 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4/bbmGg7UzbNtCQKbQLjeLZBy+uOr1sv1ZGy9f5ONRLXYk7FyERVxHNW41SeFZn1L/iKOqkZyaev9G8mez8XrGvszLzaRkiJzXIXVdhdQ+HrNElzoSfi79f5NwiRV8j9bX3OkHHMAsQAAAABJRU5ErkJggg==", "text/latex": [ "$\\displaystyle y{\\left(t \\right)} = \\frac{6 \\left(- e^{3 t} + \\sqrt{e^{C_{1} + 3 t}}\\right)}{e^{C_{1}} - e^{3 t}}$" ], "text/plain": [ " ⎛ ___________⎞\n", " ⎜ 3⋅t ╱ C₁ + 3⋅t ⎟\n", " 6⋅⎝- ℯ + ╲╱ ℯ ⎠\n", "y(t) = ───────────────────────────\n", " C₁ 3⋅t \n", " ℯ - ℯ " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "solgen = solgenLIST[0]\n", "display(solgen)" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/latex": [ "$\\displaystyle 1 = \\frac{6 \\left(\\sqrt{e^{C_{1}}} - 1\\right)}{e^{C_{1}} - 1}$" ], "text/plain": [ " ⎛ _____ ⎞\n", " ⎜ ╱ C₁ ⎟\n", " 6⋅⎝╲╱ ℯ - 1⎠\n", "1 = ────────────────\n", " C₁ \n", " ℯ - 1 " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "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", "text/latex": [ "$\\displaystyle \\left\\{ C_{1} : \\log{\\left(25 \\right)}\\right\\}$" ], "text/plain": [ "{C₁: log(25)}" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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"text/latex": [ "$\\displaystyle y{\\left(t \\right)} = \\frac{6 \\left(- e^{3 t} + 5 \\sqrt{e^{3 t}}\\right)}{25 - e^{3 t}}$" ], "text/plain": [ " ⎛ ______⎞\n", " ⎜ 3⋅t ╱ 3⋅t ⎟\n", " 6⋅⎝- ℯ + 5⋅╲╱ ℯ ⎠\n", "y(t) = ────────────────────────\n", " 3⋅t \n", " 25 - ℯ " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "t0 = 0 \n", "y0 = 1\n", "equation = sym.Eq( y0, solgen.rhs.subs(t,t0))\n", "display(equation)\n", "consts = sym.solve( equation , dict=True)[0]\n", "display(consts)\n", "\n", "solpar = solgen.subs(consts)\n", "display(solpar)\n", "\n", "func = sym.lambdify(t,solpar.rhs,'numpy')\n", "\n", "from matplotlib.pylab import *\n", "# rcdefaults()\n", "rcParams.update({'font.size': 16})\n", "figure(figsize=(10,7))\n", "tt = linspace(0,3,101)\n", "yy = func(tt)\n", "plot(tt,yy)\n", "grid();" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\displaystyle \\lim_{t\\to+\\infty}y(t)=6$" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "limite = sym.limit(solpar.rhs,t,sym.oo)\n", "\n", "# Affichage amélioré\n", "from IPython.core.display import Math\n", "display( Math( r\"\\lim_{t\\to+\\infty}y(t)=\" + sym.latex(limite) ) )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### ✨ Exercice (scipy)\n", ">Calculer la solution **approchée** du problème de Cauchy\n", "$$\\begin{cases}\n", "y'(t)=\\sin\\left(t y(t)\\right), & t>0\\\\\n", "y(0)=a\n", "\\end{cases}$$\n", "pour $a=-2,-1,-\\frac{1}{2},-\\frac{1}{10},0,\\frac{1}{10},\\frac{1}{2},1,2$ et afficher le champ de vecteurs." ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "data": { "image/png": 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