Question: Solve the following problem utt = uxx + 2, 0 < x < 1, t > 0, u(x, 0) = x 3 , ut(x, 0)

Solve the following problem

utt = uxx + 2, 0 < x < 1, t > 0,

u(x, 0) = x

3

, ut(x, 0) = 0, t > 0,

u(0, t) = 0 ux(1, t) = t

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