using the forward difference method.
The Euler algorithm is possibly the simplest way to solve a differential
equation. We start with the original equation and approximate the derivative
of the function using the forward difference method.
Here we have assumed the time 
moves ahead in uniform ``ticks'' of
length h.
Figure 1.1: Euler Algorithm
To find 
we only have to replace
with
and thereby
progressively step outwards to find the solution for arbitrary values of t.