Solving differential equations numerically using Euler's Method.

1. Eüler's Method
Eüler's biography
Eüler's identity
e iπ + 1 = 0
Let's start with a demo ... Leonhard Euler by jbgeekdad

2. Eüler Animated
source: Numerical Analysis Animations
Another example

3. Consider the differential equation
Complete the table below, starting at the point (0, 0) to generate a
numeric solution to the differential equation on the interval [0, 1] in
4 steps (so n = 4 and ∆x = 0.25).
yn + 1
0.25
Note: The exact value of the result at x = 1 is y = -0.718.
How does this compare to your estimate?

4. Repeat the above procedure using 10 steps (i.e. n = 10 and ∆x = 0.1).

5. Now, let's program this on your calculator ...
Calculator by kevin41890