Question: Consider the function f (a) = 0 15x52. (a) Expand f in a Fourier sine series on the interval [0, 2]. (You can leave terms

Consider the function f (a) = 0 15x52. (a) Expand f in a Fourier sine series on the interval [0, 2]. (You can leave terms of the form sin(7/2) and/or cos(wk/2) in your coefficients. ) (b) Use your answer to part (a) to find an explicit solution to the problem at 272 : u(0, t) = 0 = u(2, t), u(x, 0) = f(x). Consider the function f (2) = -2 05x

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