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Solving Differential Equations with Power Series: A Simple Example

Steve Brunton 38,317 3 years ago
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Here we show how to solve a simple linear differential equation by solving for the Power Series expansion of the solution. This is an extremely powerful approach that can be used to solve nearly any differential equation, even nasty nonlinear equations. 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 %%% 1:08 Solving Simple ODE with Power Series Expansion 6:40 Recursively Match Coefficients of Each Power t^n 12:50 The Full Solution: An Exponential Function

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