Intuition behind Laplace Transforms

This video provides intuition behind the Laplace Transform (in the form of a review of Power Series) and a couple of basic Laplace Transform calculations. If you need a deeper understanding of Power Series, here's a video I made that covers it:    • Power Series: Intuition and Lecture   0:00 Intro 1:24 Necessary background (power series) 2:04 Intuition background: Power Series 11:27 Intuition background: Looking at a power series as a transformation 14:32 Visual aid 17:57 Where we're headed with ODEs 19:15 Turning a discrete power series into a continuous version 27:08 The Laplace Transform 30:26 What is the Laplace Transform doing for us? 31:43 Example 1 (computing a Laplace Transform) 38:24 Example 2 (computing a Laplace Transform) 43:19 Recap