This video explores what it means for a differential equation to be linear. Specifically we discuss the importance of linear superposition and give examples of linear and nonlinear operators and differential equations.
Playlist: https://www.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
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0:00 Example of linear superposition of solutions to an ODE
6:53 Linear systems of differential equations
8:45 Examples of linear operators