Solving Ordinary Differential Equations: Interactive Simulation

This simulation was prepared using Mathematica. Download the free Wolfram player, and then download the simulation CDF file (link given below or click on figure to download). 

This Demonstration shows the exact and the numerical solutions using a variety of simple numerical methods for ordinary differential equations. Use the sliders to vary the initial value or to change the number of steps or the method. a = left x value, b = right x value (x0, y0) is the initial point.