1. Solve the following initial boundary-value problems: (a) 0 < x < 1, t > 0, Utt = c u (x, 0) = x (1- x), Ut (x, 0) = 0, 0 0. (b) 0 < x < T, t> 0, Utt = u (x, 0) = 3 sin , Ut (x, 0) = 0, 0 0.

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