2x2 Systems of ODEs: Sources and Sinks
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: • Engineering Math: Differential Equations a... Course Website: http://faculty.washington.edu/sbrunto... @eigensteve on Twitter eigensteve.com databookuw.com 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
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