Laplace Transforms in Differential Equations 📘

This ordinary differential equations video gives an introduction to Laplace transform. We give a general overview of how Laplace transforms are used to convert differential equations to algebraic expressions, and then an inverse Laplace transform is used to convert back to a solution for the differential equation. We show commonly used notations seen when working with Laplace transforms, and we introduce the integral definition for this integral transform.
0:00 What they are and when they are used
1:20 Common notations
2:38 Integral definition of the transform
Houston Math Prep Differential Equations Playlist: https://www.youtube.com/playlist?list=PLbYOkEbzW902GJZswbMnWHQaP4kKMS2TV
Houston Math Prep YouTube: https://www.youtube.com/user/HoustonMathPrep