Sage Interactions - Differential Equations

• Euler's Method in one variable Euler's Method in one variable.
• Vector Fields and Euler's Method Vector Fields and Euler's Method.
• Vector Field with Runga-Kutta-Fehlberg Vector Field with Runga-Kutta-Fehlberg.
• Linear two-dimensional ODEs Linear two-dimensional ODEs.
• Euler's Method, Improved Euler, and 4th order Runge-Kutta in one variable Euler's Method, Improved Euler, and 4th order Runge-Kutta in one variable.
• Mass/Spring systems Mass/Spring systems.
• Picard iteration example Picard iteration example.
• Euler-Maruyama method and geometric Brownian motion Euler-Maruyama method and geometric Brownian motion (a common simple model of the stock market).
• Autonomous equations and stable/unstable fixed points Autonomous equations and stable/unstable fixed points.
• Heat equation using Fourier series Heat equation using Fourier series.
• Heat equation using finite differences in cython Heat equation using finite differences in cython.
• DE with boundary values DE with boundary values.