Solving Systems of Differential Equations with Eigenvalues and Eigenvectors

We now show how to solve a generic matrix system of linear ordinary differential equations (ODEs) using eigenvalues and eigenvectors. This is one of the most powerful techniques in linear systems theory, with applications in stability theory and control. Code examples are given in Python and Matlab. Playlist: https://www.youtube.com/playlist?list=PLMrJAkhIeNNTYaOnVI3QpH7jgULnAmvPA Course Website: http://faculty.washington.edu/sbrunton/me564/ @eigensteve on Twitter eigensteve.com databookuw.com This video was produced at the University of Washington %%% CHAPTERS %%% 0:00 Overview and Recap of Eigenvalues and Eigenvectors 2:58 Eigenvalues in Matlab 4:40 Eigenvalues in Python 5:55 Setting up the Problem 15:25 The Full Solution 17:00 Intuitive Interpretation