Schiz Explains: Guitars and the String Vibration Equation
This video discusses a well-known equation from a course in mathematical physics: the equation for string vibrations. The formulation of the problem of the vibration of a finite-length string is shown, the Fourier method of separation of variables is applied, the Sturm-Liouville problem for boundary conditions of the first kind is solved, and the coefficients of the Fourier series are found.
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00:00 Introduction
00:57 Problem statement
10:05 Beginning of the solution, separation of variables
14:32 Solving the Sturm-Liouville problem
28:01 Continuation of the solution, Fourier series and its coefficients
36:15 Analysis of the problem answer
40:33 Fantasies about the initial conditions of the problem
45:16 Finale
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