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Hi There, I am studying my Mechanical Engineering degree, and studying Fourier Series.
I was running through some problems I have to do as practice for a test and I got stuck on one I'm 99% sure they'll ask in the test, in some way or another, and I can't figure it out.
At same time, the maximum processing time is 20 seconds, after that time if no solution is found, Fourier Series Calculator will stop the execution, for higher execution times please use the applet on this website.
Later, Peter Gustav Lejeune Dirichlet expressed Fourier's results with greater precision and formality.
Although the original motivation was to solve the heat equation, it later became obvious that the same techniques could be applied to a wide array of mathematical and physical problems, and especially those involving linear differential equations with constant coefficients, for which the eigensolutions are sinusoids.