# 2.3 Calculation (Euler’s method)

Course subject(s) 2. Improving the model

## Calculation (Euler’s method)

So, we will approximate the solutions of the differential equation with a numerical method, and we choose Euler’s method. In the next video, this method is explained.

## Euler's method

Subtitles (captions) in other languages than provided can be viewed at YouTube. Select your language in the CC-button of YouTube.

In the video you have learned about Euler’s method.

For the general differential equation

the n-th step of Euler’s method is given by
in which Δt is some time step you have to choose.

In the following exercises, you are learning the method by doing a few of the steps “by hand”, i.e. using a simple calculator. You will probably get bored with these calculations pretty soon, which is the purpose of the exercises :P. And then on the next page, you will use a computer program to automate these calculations.

The initial value problem to use:

The time step is set to one week, so Δt=7 days.

Get out your calculator (app)  and perform the first steps of Euler’s method.