** Next: ** Project

** Up: ** First Order Differential Equation

** Previous: ** First Order Differential Equation

## Method Numeric, Euler's Algorithm

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.

** Next: ** Project

** Up: ** First Order Differential Equation

** Previous: ** First Order Differential Equation