Euler's Method

Euler's method is the most simple method for solving ordinary differential equations, but also the least accurate. In the notes that follow the solution of the first order equation is solved with the notation

A worksheet describing the method is given: Euler's Method Worksheet

Spreadsheet demonstrating Euler's method on a 1st order system: Euler spreadsheet (Excel)

The method can also be applied to higher order ordinary differential equations. The first step is to rewrite the higher order ODE as a first order system of ODEs .

A worksheet describing the method is given: Applying Euler's Method to higher order ODEs Worksheet

Spreadsheet demonstrating Euler's method on a 2nd order system: Euler spreadsheet (Excel)