Heat equation solved by separation of variables (Fourier sine series) (Q1611)

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Heat equation solved by separation of variables (Fourier sine series)
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    Statements

    u(x,t)=\\sum_{n=1}^{\\infty}b_{n}\\sin\\Bigl(\\frac{n\\pi x}{L}\\Bigr)\\,e^{-\\alpha (n\\pi/L)^{2}t}
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