{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "bb4b571f-238a-48e7-9b06-3b1ba7f35430",
   "metadata": {},
   "outputs": [],
   "source": [
    "u(t,x)=exp(t)*(exp(x)-x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "88c788a1-2adb-441c-8dd6-68fa3162b053",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Graphics object consisting of 1 graphics primitive"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "contour_plot(u(t,x),(t,-3,3),(x,-3,3),contours=[-100,-90, .. -20]+[-10,0,10,20..100],fill=false)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "c1cca239-0755-4467-933e-c54ea6492f89",
   "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
}
