High-Order Ordinary Differential Equations with More Derivatives (from Physics)

Here we show how to derive higher-order differential equation systems, with higher-order derivatives, from F=ma by chaining together simple systems. Our example is combining two spring-mass systems to get a fourth order equation.

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This video was produced at the University of Washington

%%% CHAPTERS %%%
0:22 General Higher-Order Differential Equations
3:55 Where Do High-Order ODEs Come From?
11:47 Procedure to Derive Higher-Order ODEs from F=ma
14:33 Example Derivation for Spring-Mass System

Видео High-Order Ordinary Differential Equations with More Derivatives (from Physics) канала Steve Brunton