Purpose:The Euler Method calculator shows a visualization of the solution of a differential equation using Euler's method.

Restrictions on Use: None

General Information:

1. This model solves the differential equation dy/dx=-y (actual solution is y(x)=exp(-x).)
2. "Shoot" forward by clicking on the current point and dragging it.
3. Euler's method will choose a new value by simply extrapolating from the current derivative. The improved Euler method will shoot forward, calculate the new derivative based on that information, and use an average for the final "shooting" position.
4. You can visualize the actual solution to see how small you have to make your steps for the numerical solution and the analytic solution to agree.

Proceed/Return to Calculator