Solving Systems of Differential Equations using Laplace Transforms
Now that we have figured out how to solve initial value problems using Laplace transforms, we can use Laplace transforms to solve systems of differential equations. We will use the basic theory and Kramer's rule to solve these systems.
If you need a refresher on Kramer's rule, I have linked to a video below:
• Cramer's Rule - 3x3 Linear System
00:00 Introduction
00:49 General Method for a 2 x 2 system
05:32 Example 1
09:12 Example 2
13:33 Review of the Method