Solving Differential Equations with Power Series: A Simple Example

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.

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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

Видео Solving Differential Equations with Power Series: A Simple Example канала Steve Brunton