Explore the Laplace Transform and its application to Ordinary Differential Equations (ODEs) in this 50-minute lecture from the Engineering Mathematics course at the University of Washington. Delve into topics such as evaluation at zero, spring damper examples, characteristic polynomials, partial fractions, and inverse transforms. Access accompanying lecture notes and the course website for additional resources and a deeper understanding of these mathematical concepts essential for engineering applications.
Overview
Syllabus
Introduction
Laplace transforms
Last time
Evaluation at 0
Spring damper example
The characteristic polynomial
Partial fractions
Inverse transform
Example
Taught by
Steve Brunton
