Solving Initial Value Problems using Laplace Transforms- Basic

In this video, I solve differential equations using Laplace transforms and put forward the basic theory. I only use basic fundamental Laplace transforms and inverses, but the method will hold for any functions where we will use Laplace Transforms. 00:00 Introduction 01:27 Laplace transform of the derivative 02:23 Proving the Derivative 05:12 Laplace Transform of y" 06:06 Example 1- First Order IVP 08:29 Example 2- First Order IVP 13:59 Example 3- Second Order IVP 17:25 Review of the Process 18:22 Conclusions In case you need some background before you begin: Defining the Laplace Transform:    • Defining the Laplace Transform   Finding Laplace Transforms:    • Finding Laplace Transforms   Inverse Laplace Transforms:    • Inverse Laplace Transforms - Basic