EDP.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$y=e^{-\\frac{t}{200}}\\left(\\frac{225105}{292552}\\cos\\left(\\frac{\\sqrt{519999}}{200}t\\right)+\\frac{2159845\\sqrt{519999}}{5245749912}\\sin\\left(\\frac{\\sqrt{519999}}{200}t\\right)\\right)-\\frac{10}{13}+\\frac{-375\\sin\\left(4t\\right)-5\\cos\\left(4t\\right)}{22504}$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$y\\ =\\ \\frac{5\\left(\\sin\\left(4t\\right)-75\\cos\\left(4t\\right)\\right)}{5626}+e^{-\\frac{t}{200}}\\left(\\frac{431969\\cos\\left(\\frac{\\sqrt{519999}t}{200}\\right)}{403520}-\\frac{45021\\sqrt{17931}}{403520\\sqrt{29}}\\sin\\left(\\frac{\\sqrt{519999}}{200}t\\right)\\right)-\\frac{1}{200}e^{-\\frac{t}{200}}\\left(\\frac{225105}{292552}\\cos\\left(\\frac{\\sqrt{519999}}{200}t\\right)\\right)+\\frac{2159845\\sqrt{519999}}{5245749912}\\sin\\left(\\frac{\\sqrt{519999}t}{200}\\right)$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$y=e^{-\\frac{t}{200}}\\left(\\frac{25125}{42568}\\cos\\left(\\frac{\\sqrt{679999}}{200}t\\right)+\\frac{6838725\\sqrt{679999}}{28946197432}\\sin\\left(\\frac{\\sqrt{679999}}{200}t\\right)\\right)-\\frac{10}{17}+\\frac{125\\sin\\left(4t\\right)-5\\cos\\left(4t\\right)}{2504}$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$y\\ =\\ \\frac{6813600e^{-\\frac{t}{200}}\\cos\\left(\\frac{\\sqrt{679999}}{200}t\\right)-\\frac{6838725}{\\sqrt{679999}}e^{-\\frac{t}{200}}\\sin\\left(\\frac{\\sqrt{679999}}{200}t\\right)-25125\\sqrt{679999}e^{-\\frac{t}{200}}\\sin\\left(\\frac{\\sqrt{679999}}{200}t\\right)}{8513600}+\\frac{5\\left(25\\cos\\left(4t\\right)+\\sin\\left(4t\\right)\\right)}{626}$"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "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": "3.7.3"
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 },
 "nbformat": 4,
 "nbformat_minor": 2
}