Uploaded October 2022 | Updated September 2026, 2 weeks ago

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This video investigates a 2-dimensional linear system of ordinary differential equations with either pairs of positive real eigenvalues or pairs of negative real eigenvalues. These solutions are known as unstable sources and stable sinks, respectively. We investigate the solutions using eigenvalues and eigenvectors, as well as with phase portrait pictures.

Playlist: youtube.com/playlist?list=PLMrJAkhIeNNTYaOnVI3QpH7jgULnAmvPA
Course Website: http://faculty.washington.edu/sbrunton/me564/

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This video was produced at the University of Washington

%%% CHAPTERS %%%
0:00 Overview of sources and sinks
1:56 Writing the solution
2:53 Recap: How to compute matrix inverse
12:24 Drawing an unstable source in phase space
21:01 Drawing a stable sink in phase space