Chapter 17 · Ordinary Differential Equations
17.09
Laplace Transforms
The Laplace transform turns derivatives into multiplication by s, so a differential equation with initial conditions becomes algebra. Solve for Y(s), then transform back.
About 17 minutes
You'll learn to
- →Compute Laplace transforms from the definition and a table
- →Transform derivatives using initial conditions
- →Invert transforms with partial fractions
- →Solve initial value problems with Laplace transforms