The Inverse Laplace Transform

In this video we show how to perform the inverse Laplace transform on a signal in the Laplace domain to obtain its equivalent representation in the time domain. Topics and time stamps: 0:00 – Introduction 2:38 – Formal definition of the inverse Laplace transform 7:41 – Inverse Laplace transform for a system with real distinct poles 12:39 – Inverse Laplace transform for a system with repeated real poles 18:08 – Inverse Laplace transform for a system with complex conjugate poles 23:18 – Relationship between pole locations and time domain response 30:44 – Example of solving a linear ODE using the Laplace technique 40:58 – Inverse Laplace transform for an improper complex function 45:03 – Summary of the Laplace method for solving linear ODEs Lecture notes and code can be downloaded from https://github.com/clum/YouTube/tree/... All ODE videos in a single playlist (   • Ordinary Differential Equations   ) #ODEs You can support this channel via Patreon at   / christopherwlum   or by clicking on the ‘Thanks’ button underneath the video. Thank you for your help!