{ "cells": [ { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Etablissement du régime sinusoïdal permanent dans un circuit RLC" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "%display latex" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "omega=2*pi*10^4;Q=5;f=10^3;" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "400000000*pi^2*y(t) + 4000*pi*diff(y(t), t) + diff(y(t), t, t) == 400000000*pi^2*cos(2000*pi*t)" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "var('t')\n", "y=function('y')(t)\n", "eq=diff(y,t,2)+omega*diff(y,t)/Q+omega^2*y==omega^2*cos(2*pi*f*t);eq" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "sol1=desolve(eq,y,ics=[0,0,0],show_method=True) #resolution pour différentes conditions initiales\n", "sol2=desolve(eq,y,ics=[0,-1,0],show_method=True)\n", "sol3=desolve(eq,y,ics=[0,0.5,-1],show_method=True);sol1,sol2,sol3;" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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IiEjYUnCoV3qg1L3tmqKU0D8BbM59Cg4iIiIiEs4UHOqVFXtNVervDA6R0ZF0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\nlXGFQCtc3VftnY0fbeRCsLzXuXtsd7o80kVji7TBkf3UJf4EmiIOnu4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U4eAlFTxXCVIv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FR2GYwfP77IeWd/T3VqOblu3Tq+//57RvVR1cS2Zo4DmL+9T1AdUzdFs0W553DVuLiIwy3Mydv1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\nGD9nvMpRCZH5HL9wkN4GkTjPQfdYx9ud3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TJVqlQBoGzZsnz22WfPvVYKB2E3osGU24Qx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\nRSlpYogAAAAASUVORK5CYII=\n", "text/plain": [ "Graphics object consisting of 3 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "g1=plot(sol1[0],t,0,2*10^-3,color='purple',thickness=2);\n", "g2=plot(sol2[0],t,0,2*10^-3,color='magenta',thickness=2);\n", "g3=plot(sol3[0],t,0,2*10^-3,color='green',thickness=2);\n", "show(g1+g2+g3,gridlines='major',axes_labels=[\"$t$\",\"$s(t)$\"],fontsize=14)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "400000000*pi^2*y(t) + 4000*pi*diff(y(t), t) + diff(y(t), t, t) == 400000000*pi^2*cos(16000.0000000000*pi*t)" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "omega=2*pi*10^4;Q=5;f=0.8*10^4;\n", "var('t')\n", "y=function('y')(t)\n", "eq=diff(y,t,2)+omega*diff(y,t)/Q+omega^2*y==omega^2*cos(2*pi*f*t);eq" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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PwcFB3HXXXfjP//xPrF+/HrFY7Hi8pViC3OMApBYNSSShQkUKqaJzBEEQBEEQBFGK417T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\n1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Lp3hGMfHg9jt+2UZFJAvWwZNmI7FGjlkmmt1tktEuFRuOFVDKf20k1rWblGmsQfNg3N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"text/plain": [ "Graphics object consisting of 3 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sol1=desolve(eq,y,ics=[0,0,0],show_method=True)\n", "sol2=desolve(eq,y,ics=[0,-1,0],show_method=True)\n", "sol3=desolve(eq,y,ics=[0,0.5,-1],show_method=True)\n", "g1=plot(sol1[0],t,0,2*10^-3,color='purple',thickness=2)\n", "g2=plot(sol2[0],t,0,2*10^-3,color='magenta',thickness=2)\n", "g3=plot(sol3[0],t,0,2*10^-3,color='green',thickness=2)\n", "show(g1+g2+g3,gridlines='major',axes_labels=[\"$t$\",\"$s(t)$\"],fontsize=14)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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XIJ3Wr18/8rsq2Z/hoKlQ57GrEhERERHlMHZV0tifGq3RBkizqxIRERER5TAmDpqhWhy0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\nwxhJUw+SrT9NPzzN9ph0bxryrAw//KgaVdT9HI70mjQ7rLKUKkGuyZx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D4XB7JPyr/XBP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\n5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Q5eI/N4PUPmzZsXdhMAX+QUVpBVWGA5pxQOuSjGHoejPcc7fc59N/bvwZL6\nB9wOLwqHtCzvHonyQU5hBVmFBZZzSuGQi95uAOcof4VDVexHSt5sLVUb3owdHxNwG7qicEirtrbW\n/yQgZOQUVpBVWGA5pxQOuehtj8MHnuOgCwcpsbFaT4VDm6SO2HG+C4dUcxwoHAAAAEyhcMhFbwuH\nfOwa7RUvHN5XcpHitcNznO/CIdUO0RQOAAAAplA45KJYCwfvUqfvprj/L5Lu9vx+ch7a4PWxDG8r\nQ83NzWE3AfBFTmEFWYUFlnNK4ZCLYi0cvN/wdx2u9KKkUyX9m+e2f8hDG7zGKHl37MOV3+VfDVm+\nfHnYTQB8kVNYQVZhgeWcUjjkolgLh+Ge411d7lsh6e+e3/tIOjMPbfAaoOTlXrsWEmVs9erVYTcB\n8EVOYQVZhQWWc1rehUOuS5AWa+EwxHO8u8t9v+ny+7dUmG//L/Qcf7YA1zOisrIy7CYAvsgprCCr\nsMByTvuG3YCCC7LHoZ/cb+wPKrFCUSbyXTgc7jl+33O8R4klWM+Q9J8q3A7Ot0jaIqlSUl2BrgkA\nAIDAUDjkIiLpMLlLm+7J4nHewmFQ2rN6L12Pw+ue43EqXNEguZOh7c4FAgAAKHvlPVQp18JBcndd\nlpLnDfjxDmsaEEAbukrX4+AtHE7Mw3WRtbo6ul9Q/MgprCCrsMByTikcchUvHLLpcfAOa8rHMLd0\nPQ5/8RyzHGpRGD16dNhNAHyRU1hBVmGB5ZxGHMdxwm5E0Nrb21VTU6Pzzz9fffv2VW1tbWJ772mS\nnoudeEi5r+5zuqTnY8cHlVkp9oikL8eOV0i6Lsc2dLVdicJgjqT45P2bJS2LHT8p6dyArwsAAICS\nVdJzHFavXq3q6urkG+M9Dn0VzJKggz3He7v8nk5YPQ6tnmP2UQAAAEAWyneoUhDDlCR3cnRcpsOV\n9nqO81E41ChRFHnnOHj3dBiWh+sCAACgZFE45Mrbw5DpBGlvj0NVQO3wqpAU72ihx6GotbS0hN0E\nwBc5hRVkFRZYzimFQ668hUOmPQ75HqokJVZW8vY4xAuHw5Sf1ZyQtYULF4bdBMAXOYUVZBUWWM4p\nhUOuelM45HuokpSY57BbUnz6e3yoEsOUisaKFSvCbgLgi5zCCrIKCyznlMIhV7n2OORjqJKU6HH4\nMHa9Q6JwKEKWl2RD+SCnsIKswgLLOS3pVZVSKobCoZA9DpLb63BAbvEgMb8BAAAAWaNwyFWxz3GQ\n3HkO3mvS4wAAAIAsMVQpV97lWItlVSWpe4+Dd0UlCoeisWzZMv+TgJCRU1hBVmGB5ZzS45CrGs/x\n7rRnJfMOVRoUUDu66trj4MVQpaLR0dHhfxIQMnIKK8gqLLCc04jjOI7/aba0t7erpqZGbW1tyTtH\nO0r0sXxS0nMBXOyF2HNJ0nWSMpkoP1nSS3KLlw8CaEMqKyRdHzteKekjSfNjv98v6Zo8XRcAAAAl\nqbx6HA56joPqcRjqOX4vw8fEC818DVOSuvc4eAsUhioBAAAgS+VVOHzoOQ6qcPB+QM+0cIgPVcrX\nxGip+xwHb68YQ5UAAACQpfKaHJ2PwqFGUiR23HUuQTph9DgwObootba2+p8EhIycwgqyCgss55TC\nIVd9lPh2v5h7HHZ5fqdwKBrz58/3PwkIGTmFFWQVFljOKYVDEOLzHDIpHD6UuxmbFF6PA0OVikZ9\nfX3YTQB8kVNYQVZhgeWcUjgEIV447FZid+Z0vJvE1aQ9K3fp9nE4TNKAPF4XWZk8eXLYTQB8kVNY\nQVZhgeWcUjgEIf7t/iFJ7T7ntnmOq9OelbtBShQI7ysxVIlhSgAAAOgFCocgZLMkq7ewyGePg5Q8\n94LCAQAAADmgcAhCbwuHfPY4SImekDeUGELF/Iai0tDQEHYTAF/kFFaQVVhgOacUDkHwFg5+S7J6\nhyoVqsfBa3ier4msbNq0KewmAL7IKawgq7DAck4pHILgXcFoV9qzXGH0OHgdmedrIis/+MEPwm4C\n4IucwgqyCgss55TCIQjZ9DgUsnCgxwEAAAABoXAIQjZzHMIeqkSPAwAAAHqBwiEIvS0c8t3jMDTF\nbfQ4AAAAoBcoHIKQTeHg3cE530ujHpPiNnociko0Gg27CYAvcgoryCossJxTCocgFGvhMCrFbSPz\nfE1kZcGCBWE3AfBFTmEFWYUFlnMacRzHCbsRQWtvb1dNTY3OP/989e3bV7W1taqtrZV+JumfYifd\nKembAV3wgKSBseNPSXq6h3PPlrQ+drzP87h8eEmSd1fzPpL2S+qbx2sCAACgJJX0R8jVq1erutoz\nkSBfPQ4DJFVJ2qvMexwOU36LBql7j8OxKvG/cQAAAOQLQ5WCEt8zIdPCId/DlFJdY0wBrgkAAICS\nROEQlPg8h/ckpRv8dUiJDeIKUThEJJ3j+X1aAa6JrDQ1NYXdBMAXOYUVZBUWWM4phUNQ4oXDAblz\nF1J5R27xIBVudaNvyp3bMEzSlQW6JjLW2NgYdhMAX+QUVpBVWGA5pyU9ObqtrS15jsN9kr4eO35E\n0mUBXvQSST+PHf9VqVc0elHS1Njx1ZJ+GOD1e7Jb7nyKfM+pAAAAQMmixyEomSzJ+lfP8bEBX78n\nQ0TRAAAAgJxQOAQlk8LhDc9xIQsHAAAAIEcUDkHJtsch1VAmAAAAoEhROASFHgf0wrx588JuAuCL\nnMIKsgoLLOeUwiEoNZ7jtjTn7PAcHxPw9WHS7Nmzw24C4IucwgqyCgss57S8VlWqk3RX7PhpSZ8K\n8KK/knR+7HixpCUpzhktd7jScLlLswIAAABG0OMQFE99oj1prv1m7Hh0wNcGAAAA8ozCISiDPcft\nKe5/U4nN344L+NoAAABAnlE4BMXb45CqcPDOb6DHATHNzc1hNwHwRU5hBVmFBZZzSuEQFL+hSn/x\nHNPjgJjly5eH3QTAFzmFFWQVFljOaXkVDgc8xwMCfm6/oUr0OCCF1atXh90EwBc5hRVkFRZYzml5\nFQ4feI77B/zcfSUNih2nKhzYwwEpVFZWht0EwBc5hRVkFRZYzmn5Fg5B9zhIieFKqYYqeZdfHZmH\nawMAAAB5VL6FQ9A9DlJiuFKqHgdv4TA8D9cGAAAA8qi8CgfvHId8FA7eHoeu2+q94zlnYB6uDZPq\n6urCbgLgi5zCCrIKCyzntLwKh3z3OMQLh48k7e9y37uxfx+Zh+vCrNGjmSmP4kdOYQVZhQWWcxpx\nHKfrd+Pmtbe3q6amRm1tbaqu9qyTOlXSi5L6yP1wH7SopP+KHe+UNCJ2/IEScyrOlLQhD9cGAAAA\n8qg8exzy0dsgpd/LodVzTI8DAAAADCqvwiE+x6EQhYN3grR3YjSFAwAAAAwqr8Ih3z0O6TaBe9dz\nPCxP14ZJLS0tYTcB8EVOYQVZhQWWc1qehUM+9nCQkgsH71ClNs/x4Xm6NkxauHBh2E0AfJFTWEFW\nYYHlnJZX4ZDvoUqZFA7e4UwoeytWrAi7CYAvcgoryCossJzT8iocCjlUKV3hUJOna8Mky0uyoXyQ\nU1hBVmGB5ZyWdOEwd+5cRaNRNTY2ujcUsnD4u+fYO9+BwgEAAAAG9Q27Afm0evXq5H0cimGOA0OV\nAAAAYFBJ9zgk+UjSodhxvnocDvMcM1QJGVi2bFnYTQB8kVNYQVZhgeWclk/h8IHnmDkOKBIdHR1h\nNwHwRU5hBVmFBZZzGnEcxwm7EUFrb29XTU2N2traEkOVdiuxFOpnJf0qDxf+k6QTYsdzJcWmVmiW\npN/EG6fkAgMAAAAwoDx7HAoxx8E7OTre4xCRVJWnawMAAAB5VD6FwwHPcVhDlapVTn/iAAAAKCHl\n8zG2EHMcBkjqEztOVTgwvwFdtLa2ht0EwBc5hRVkFRZYzimFQ5AiSvQ6UDggA/Pnzw+7CYAvcgor\nyCossJzT8iwc8jXHQUoUDvE5Dh9I2h87Zg8HdFFfXx92EwBf5BRWkFVYYDmn5VM4FGKOg9S9x4Fd\no9GDyZMnh90EwBc5hRVkFRZYzmn5FA6FGKokJTaB+7vcDefYwwEAAAAlgMIhaN6VlfaKwgEAAAAl\noTwLh0LMcZDcXgfvUCXmOKCLhoaGsJsA+CKnsIKswgLLOS2fwqHQcxwkd54DPQ7owaZNm8JuAuCL\nnMIKsgoLLOc04jiOE3Yjgtbe3q6amhq1tbWpujr2Nf9/SLo0dsJdkm7K08WvlfRA7PhFSa9KuiL2\n+wpJ1+XpugAAAEAelU+PQxhzHLr2ODBUCQAAAEaVZ+EQ1hwHhioBAADAqPIpHJjjAAAAAPRa+RQO\nxTBUicIBXUSj0bCbAPgip7CCrMICyzmlcAjaYZ5j5jjAx4IFC8JuAuCLnMIKsgoLLOc08MJh27Zt\nuvTSSzV8+HBVVlZq0qRJ+uEPf5jVc6xbt04VFRVpf1auXJl9w8IaqsQcB/Rg9uzZYTcB8EVOYQVZ\nhQWWc9o3yCfbvHmzzjzzTB04cEBz5szRUUcdpSeeeELXXnutXnvtNd1zzz1ZPd+MGTM0Y8aMbrdP\nmjQp+8bt8xwPyv7hGes6OZoeBwAAAJSAQAuHa665Rnv27NEvf/nLzmrqtttu08yZM7VixQp96Utf\n0umnn57x882YMUOLFy8OpnHewqEymKdMKd0ch0pJ/fJ4XQAAACCPAhuqtG3bNq1fv16f/vSnk7pg\n+vbtq9tuu02O4+ihhx4K6nLZK1SPQ7o5DgxTQgpNTU1hNwHwRU5hBVmFBZZzGljh8NRTT0mSZs2a\n1e2+6dOnq6qqSuvWrcvqObdu3ap77rlHd9xxhx555BH97W9/630DOzzHhRqqtEfS7tjxkDxeE2Y1\nNjaG3QTAFzmFFWQVFljOaWBDlbZt26ZIJKKxY8d2u6+iokJjxozRa6+9pkOHDqmiIrN6pbGxMekP\nt0+fPrr++ut11113KRKJZNfAMOY4tMmd5yDR44CUHn300bCbAPgip7CCrMICyzkNrMehrc0dk1NT\nk/oTcnV1tQ4dOqQ9e/b4Ptfw4cO1bNkyvfLKK/r73/+ut99+W01NTRo7dqzuvvtuLVy4MPsGFmqO\nw0BJfWLHb3pup3AAAACAYVkVDvX19VqyZEnST3t7u/8DszR+/HjV1dXplFNOUVNTk+rq6vT5z39e\nTz75pIYPH657771XF110UbcxYmvXrk3aVGPs2LEaOXKkhg8frkm/naSoompUozRI2rRpk6LRqFpb\nW5Oe49Zbb9WyZcuSbtuxY4ei0ahaWlqSbr/vvvtUV1eXdFvHvg5FI1E1q1l6I3F7Y1uj5s2b1+21\nzpkzx/d1xF133XVqaGhIui1vr6OjQ9FoVM3NzUm3NzbyOngdvA5eB6+D18Hr4HXwOsJ6HWGKOI7j\nZHpyRUVFtyFC27dv1+jRo7Vw4UJ997vf1c9+9jNdfPHF3R47YcIEbd68WR988EHGQ5VSueqqq9TQ\n0KDHH39cF1xwQcpz2tvbVVNTo7a2NlVXx9ZAPUvSM7ETPlTA60l1caySigZJ0lWSfpTHawIAAAB5\nlNUn+EOHDungwYNJP6NHj5bkfrvvOI62bduW8nHbt2/XmDFjcioaJGnYsGGSpL1792b3wPhQpb7K\nb9EgJc9ziGOoElJI9e0CUGzIKawgq7DAck4Dm+MQ36ht7dq13e5bv3699u7dm3Izt2xt3LhRknT8\n8cdn98B44ZDP+Q1xqQoHVlVCCpZ3j0T5IKewgqzCAss5zWqokp8ZM2Zo/fr1euKJJ3TeeedJkj78\n8EPNnDlTGzZs0IYNGzRt2rTO83ft2qXW1lYNGzZMRxxxROftmzZt0uTJk7s9/7333qsbbrhBJ598\nsjZv3px2ZaWUQ5WOk7RD0ghJO4N6xWl8RtL/63LbCknX5fm6AAAAQJ4EOmjn/vvv1/Tp03XRRRdp\nzpw5Ouqoo/TEE09o8+bNuv7665OKBsmdNLJ06VLV19cn7RB9ySWXqF+/fpoyZYpGjRqlvXv3auPG\njXrppZc0dOhQPfLII71fjjWfS7HGHZbiNoYqAQAAwLBAC4fx48fr+eef1y233KI1a9Zo7969Oumk\nk3T//ffr6quv7nZ+JBLp/PG69tpr9etf/1rr16/Xrl27VFFRoeOOO0433nijbrzxRh199NHZN46h\nSgAAAECvBTpUqVh0G6rkSOon6aCk0yS9mOcGXCvpgS63bZR0ep6vC3Oam5s1ffr0sJsB9Iicwgqy\nCgss5zSwydFF7UO5RYNUmKFKh6e47cgCXBfmLF++POwmAL7IKawgq7DAck7Lo8ehTYmhQrMkdV/4\nKVj3Sfp6l9v+Lqkqz9eFOR0dHaqsLMT4OaD3yCmsIKuwwHJOy6PHYZ/nuBB/TyO7/D5IFA1Iyeob\nB8oLOYUVZBUWWM5p+RUOhRiq1LVwYJgSAAAAjCuPwqHDc1yIwuGoLr8fU4BrAgAAAHlUHoVDoXsc\nuq4We3IBrgmT6urqwm4C4IucwgqyCgss57T8CodCDCurlDTO8/u4dCei3I0ePTrsJgC+yCmsIKuw\nwHJOy2NVpV9LOi9257clLS1AI+6UtFDuLtJ/kPSxAlwTAAAAyJPy63EoxFAlSaqTtEnSdlE0AAAA\nwLy+YTegIAo9VCnuEwW8FgAAAJBH9DgAIWppaQm7CYAvcgoryCossJzT8igcCr0cK5ChhQsXht0E\nwBc5hRVkFRZYzml5TI6OT1SWpP+Q9MUQGwd47Nixw/TqCigP5BRWkFVYYDmn5dHjENYcB8CH1TcO\nlBdyCivIKiywnNPyKxwYqgQAAABkrTwKB+Y4AAAAADkpj8KBHgcUqWXLloXdBMAXOYUVZBUWWM5p\n+RUOzHFAEeno6PA/CQgZOYUVZBUWWM5peayqdImkn8fu/KukUSE2DgAAADCo/HocGKoEAAAAZK38\nCgeGKgEAAABZK+nCYe7cuYpGo2r8a2PixoHhtQfoqrW1NewmAL7IKawgq7DAck5LunBYvXq1Hn/8\ncdVW1ro3DJQUCbVJQJL58+eH3QTAFzmFFWQVFljOaXlMjh4r6XVJh0t6L+TGAR6bNm3S5MmTw24G\n0CNyCivIKiywnNPyKBxGSXpT0jGS3gi5cQAAAIBBJT1UqVN8cjQrKgEAAAC9Uh6FQ3yfDQoHAAAA\noFdKv3BwJO2PHVM4oMg0NDSE3QTAFzmFFWQVFljOaekXDvs9x+zhgCKzadOmsJsA+CKnsIKswgLL\nOS39ydEfVkvDYnecL2lNmC0DAAAAbCr9HgfvrtEMVQIAAAB6pbwKB4YqjBwzPQAACmdJREFUAQAA\nAL1SXoUDPQ4AAABAr5R+4dDhOaZwQJGJRqNhNwHwRU5hBVmFBZZzWvqFAz0OKGILFiwIuwmAL3IK\nK8gqLLCc09JfVam5WrogdscSSYvDbBkAAABgEz0OAAAAAHyVfuHAHAcAAAAgZ6VfONDjgCLW1NQU\ndhMAX+QUVpBVWGA5p+VVOLCPA4pMY2Nj2E0AfJFTWEFWYYHlnJb+5OgfVEvfit3xC0kXhdkyAAAA\nwKby6nFgqBIAAADQKxQOAAAAAHyVV+HAHAcAAACgV0q/cGA5VhSxefPmhd0EwBc5hRVkFRZYzmnp\nFw4MVUIRmz17dthNAHyRU1hBVmGB5ZyW/qpKX6mWHovd8ZakkWG2DAAAALCJHgcAAAAAvkq/cGCO\nAwAAAJCzki4c5s6dq+gfo2pUo/tK+4XdIiBZc3Nz2E0AfJFTWEFWYYHlnJZ04bB69Wo9fszjqlWt\nuxRrJOwWAcmWL18edhMAX+QUVpBVWGA5p6U/OXpitfRnScMlvRNyw4AuOjo6VFnJBiMobuQUVpBV\nWGA5pyXd4yApMTma+Q0oQlbfOFBeyCmsIKuwwHJOKRwAAAAA+CqfwsFucQcAAACErrQLh48kfRg7\npscBRaiuri7sJgC+yCmsIKuwwHJOS7twYPM3FLnRo0eH3QTAFzmFFWQVFljOaWmvqvR6m6pPrHZv\n/Lykx0NtFgAAAGAWPQ4AAAAAfFE4AAAAAPBF4QCEqKWlJewmAL7IKawgq7DAck5Lu3DY7zlmOVYU\noYULF4bdBMAXOYUVZBUWWM5paU+O/kWbqi+OTY6+RdJ3Qm0W0M2OHTtMr66A8kBOYQVZhQWWc1o+\nPQ4MVUIRsvrGgfJCTmEFWYUFlnNa2oUDcxwAAACAQJR24cAcBwAAACAQpV04dHiO6XFAEVq2bFnY\nTQB8kVNYQVZhgeWclnbhwBwHFLmOjg7/k4CQkVNYQVZhgeWclvaqSre0qfp/x1ZV+i9J/xhqswAA\nAACz6HEAAAAA4Ku0CwfmOAAAAACBKO3CgR4HFLnW1tawmwD4IqewgqzCAss5Le3CwbuPA8uxogjN\nnz8/7CYAvsgprCCrsMByTsuncKDHAUWovr4+7CYAvsgprCCrsMByTkt7VaXZbapeG1tV6R1Jw0Nt\nFgAAAGBWafc4MMcBAAAACERpFw4MVQIAAAACUR6FQ39JfcJsCJBaQ0ND2E0AfJFTWEFWYYHlnJZ0\n4TD3T3MVVVSNfRrDbgqQ0qZNm8JuAuCLnMIKsgoLLOe0tCdHH9Om6jerpZGS3gq7VQAAAIBdJd3j\n0DlUiT0cAAAAgJyUR+HAxGgAAAAgJxQOAAAAAHyVduEQx1AlFKloNBp2EwBf5BRWkFVYYDmn5VE4\n0OOAIrVgwYKwmwD4IqewgqzCAss5Le1VldSmalVLF0n6RditAgAAAOyixwEAAACAr/IoHJjjAAAA\nAOSkPAoHehxQpJqamsJuAuCLnMIKsgoLLOeUwgEIUWNjY9hNAHyRU1hBVmGB5ZyWx+ToxZKWhN0q\nAAAAwK7y6HFgjgMAAACQk/IoHBiqBAAAAOSEwgEAAACAr/IoHBiqhCI1b968sJsA+CKnsIKswgLL\nOS2PwoEeBxSp2bNnh90EwBc5hRVkFRZYzml5rKq0RtL5YbcKAAAAsIseBwAAAAC+yqNwYI4DAAAA\nkJPyKBzocUCRam5uDrsJgC9yCivIKiywnFMKByBEy5cvD7sJgC9yCivIKiywnNPymBz9hqRjwm4V\n0F1HR4cqKxlLh+JGTmEFWYUFlnNaHj0ONv9uUAasvnGgvJBTWEFWYYHlnJZH4cBQJQAAACAnpV84\nRCQNCLsRAAAAgG2lXzgMlFs8AEWorq4u7CYAvsgprCCrsMByTku/cKgKuwFAeqNHjw67CYAvcgor\nyCossJzTkl5V6Xydr76D+qq2oVa1tbVhNwsAAAAwq6QLhza1qXp8tfRq2C0CAAAAbCvNoUreUsju\nilcAAABA0SjNwmG/55g5DihiLS0tYTcB8EVOYQVZhQWWc1qahcM+zzGFA4rYwoULw24C4Iucwgqy\nCgss57Q05zi82q6aU2NzHL5YLf1H2C0CUtuxY4fp1RVQHsgprCCrsMByTkuzx6HDc0yPA4qY1TcO\nlBdyCivIKiywnFMKBwAAAAC+KBwAAAAA+Cr9woHlWFHEli1bFnYTAF/kFFaQVVhgOaelXzjQ44Ai\n1tHR4X8SEDJyCivIKiywnNPSXFXpR+2q+ZfYqko/qJauDbtFAAAAgG2l2eOw13PMUCUAAAAgZ6VZ\nOLABHAAAABCo0iwcvD0OFA4oYq2trWE3AfBFTmEFWYUFlnNK4QCEaP78+WE3AfBFTmEFWYUFlnNa\nmoVDu+e4JrRWAL7q6+vDbgLgi5zCCrIKCyzntDRXVbqkXTU/j62q9KdqaUzYLQIAAABsK/0ehyGh\ntQIAAAAoGaVZOOz2HFeH1goAAACgZJRm4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"text/plain": [ "Graphics object consisting of 2 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "omega=2*pi*10^4;Q=5;f=5*10^4;\n", "var('t')\n", "y=function('y')(t)\n", "eq=diff(y,t,2)+omega*diff(y,t)/Q+omega^2*y==omega^2*cos(2*pi*f*t);eq\n", "sol1=desolve(eq,y,ics=[0,0,0],show_method=True)\n", "sol2=desolve(eq,y,ics=[0,-1,0],show_method=True)\n", "g1=plot(sol1[0],t,0,2*10^-3,color='purple',thickness=2)\n", "g2=plot(sol2[0],t,0,2*10^-3,color='magenta',thickness=2)\n", "show(g1+g2,gridlines='major',axes_labels=[\"$t$\",\"$s(t)$\"],fontsize=14)" ] } ], "metadata": { "kernelspec": { "display_name": "SageMath 8.0", "language": "", "name": "sagemath" }, "language": "python", "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.13" } }, "nbformat": 4, "nbformat_minor": 2 }