Question: 3. Solve the following initial-boundary value problems for the wave equation: (a) (5 points) Utt = Uxx, 0 0, u(0, t) = 0, t >

3. Solve the following initial-boundary value problems for the wave equation: (a) (5 points) Utt = Uxx, 0 0, u(0, t) = 0, t > 0, u(1, t) = 0, t 2 0, u(x, 0) = 0, 0 0, u(0, t) = 0, t >0, u(7, t) = 0, t 20, u(x, 0) = x(T - x), O

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