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This lecture develops Laplace-transform methods for solving ordinary differential equations with external forcing, using a spring-mass-damper system as the main example. It also covers convolution, transfer functions, frequency response, Bode plots, and MATLAB demonstrations.
Syllabus
Introduction
Spring Mass Damper
Laplace Transform
Simplification
Full Solution
Questions
Homework
MATLAB
Frequency response to sinusoidal inputs
Frequency response with bode
Taught by
Steve Brunton