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Second Order Harmonic Oscillator, Characteristic Equation, Ode45 in MATLAB

Steve Brunton via YouTube

Overview

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This lecture develops several solution methods for second-order linear differential equations through the harmonic oscillator and spring-mass-damper system. It also demonstrates converting the system to first-order matrix form and solving it numerically in MATLAB with ode45.

Syllabus

Intro
Announcements
Introduction
Solving a differential equation
Taylor series
General solution
Taylor series expansion
Spring mass damper system
Matlab code

Taught by

Steve Brunton

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