Solving General High-Order, Linear Ordinary Differential Equations (ODEs)

This video shows how to solve general high-order linear differential equation systems, using the characteristic polynomial and linear superposition. Playlist: https://www.youtube.com/playlist?list=PLMrJAkhIeNNTYaOnVI3QpH7jgULnAmvPA Course Website: http://faculty.washington.edu/sbrunton/me564/ @eigensteve on Twitter eigensteve.com databookuw.com %%% CHAPTERS %%% 0:00 Overview 1:56 Guess x(t) = exp(lambda*t) and Plug Into ODE 6:12 Characteristic Polynomial 8:43 The General Solution 11:48 Using Initial Conditions 16:35 It's *not* a Wronskian!!! (or is it!)