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Solving the Wave Equation with Separation of Variables and Guitar String Physics

Steve Brunton via YouTube

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Overview

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This course solves the wave equation for a pinned guitar string using initial and boundary conditions, separation of variables, and ordinary differential equations. It connects the mathematical solution to string tension, linear density, sound frequency, and traveling waves.

Syllabus

Introduction .
Initial Conditions and Boundary Conditions for the Wave Equation.
Separation of Variables.
Solving the ODEs for Space and Time.
General Solution of the Wave Equation.
Recap.
Guitar String Physics.
Method of Characteristics.

Taught by

Steve Brunton

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