Chapter 17 · Ordinary Differential Equations
17.05
Slope Fields and Euler's Method
A slope field draws y' = f(x, y) as little segments, so you can sketch solutions without solving. Euler's method follows those segments step by step to approximate a solution.
About 14 minutes
You'll learn to
- →Draw and read slope fields
- →Find equilibria of autonomous equations and classify their stability
- →Approximate solutions with Euler's method
- →Explain how the step size affects the error