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Consider the function 0 Consider the function (a) Expand f in a Fourier sine series on the interval [0, 2]. (You can leave terms of
Consider the function 0
Consider the function (a) Expand f in a Fourier sine series on the interval [0, 2]. (You can leave terms of the form sin(Tk/2) and/or cos(Tk/2) in your coefficients.) (b) Use your answer to part (a) to find an explicit solution to the problem Ou 02u u(0, t) = 0 u(2, t),
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