Euler's Method for Approximating Differential Equations

Numerical-Methods Differential Equations

First Order

The way this works is that you are given initial conditions . So you can compute , then you can approximate the coordinates some away from by using a straight line with gradient . To get a more accurate approximation, you can calculate the next point with smaller steps . As a result, you have to do more iterations to get a point some distance from

You could also use the Midpoint Formula:

Second order differential equation