Differential Equations and exp(At)
Session Overview
 | We can copy Taylor's series for ex to define eAt for a matrix A. If A is diagonalizable, we can use Λ to find the exact value of eAt. This allows us to solve systems of differential equations du / dt = Au the same way we solved equations like dy / dt = ky. |
Session Activities
Lecture Video and Summary
- Watch the video lecture Differential Equations and exp(At) (00:51:03)
- Read the accompanying lecture summary (PDF)
- Lecture video transcript (PDF)
Suggested Reading
- Read Section 6.3 in the textbook.
Problem Solving Video
- Watch the recitation video on Differential Equations and exp(At) (00:10:19)
- Recitation video transcript (PDF)
Check Yourself
Problems and Solutions
Work the problems on your own and check your answers when you're done.
