{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "1b076045",
   "metadata": {},
   "source": [
    "#### Una trayectoria ortogonal a una familia de curvas es una curva que corta todas las curvas de la familia en ángulo recto. Para cada $m>0$, encuentre las trayectorias ortogonales a la familia de elipses $t^2+mx^2=C$, donde $C \\in\\mathbb{R}$. Dibuja la familia de elipses para $m=2$ y las curvas ortogonales"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "a09a9c5f",
   "metadata": {},
   "outputs": [],
   "source": [
    "c(t,x,m) = t^2 + m*x^2\n",
    "u(t,c0,m) = c0*t^(m)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "95c77d5d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "Graphics object consisting of 11 graphics primitives"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "m = 2\n",
    "contour_plot(c(t,x,m),(t,-2,2),(x,-1,1),fill=false,aspect_ratio=1) + \\\n",
    "plot([u(t,1,m),u(t,-1,m),u(t,0,m),u(t,2,m),u(t,1/4,m),u(t,-1/6,m)],(t,0,2),ymin=-1,ymax=1)+ \\\n",
    "plot([u(-t,1,m),u(-t,-1,m),u(-t,0,m),u(-t,2,m)],(t,-2,0),ymin=-1,ymax=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "26414332",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "SageMath",
   "language": "python",
   "name": "sagemath"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.13.14"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
