Numerical Methods for Differential Equations

y'=

-x

2

y

method

explicit Euler

implicit Euler

Heun

classical Runge-Kutta

a

0

b

2

y0

1

steps

3

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.