Euler's Method for solving Differential Equations

There are 3 main ways to solve Differential Equations, the easiers of the numerical methods is Eulers.

It's a super simple method that basically takes some IVP (initial value problem: the DE and some starting postion) and iterates from that position using the slope from the DE and some step size 'h'.

Eulers Equations:

\[ x_{n+1} = x_n + h \] \[ y_{n+1} = y_n + h \, A_n \] \[ A_n = f(x_n, y_n) \]