Derivation and Solution of Laplace’s Equation

In this video we show how the heat equation can be simplified to obtain Laplace’s equation. We investigate how to solve Laplace’s equation using separation of variables. Lecture notes and code can be downloaded from https://github.com/clum/YouTube/tree/... All partial differential equation videos in a single playlist (   • Partial Differential Equations  ) Associated videos on software tools relevant to PDEs include: -Creating Movies and Animations in Mathematica (   • Creating Movies and Animations in Mathematica  ) -Creating Movies and Animations in Matlab(   • Creating Movies and Animations in Matlab  ) You can support this channel via Patreon at   / christopherwlum   or by clicking on the ‘Thanks’ button underneath the video. Thank you for your help!