Question: 3. Solve the following initial-boundary value problems for the wave equation: (a) (5 points) Utt = 9urI: 0 0, u(0, t) = 0, t 2

3. Solve the following initial-boundary value problems for the wave equation: (a) (5 points) Utt = 9urI: 0 0, u(0, t) = 0, t 2 0, u(1, t) = 0, t 2 0, u(x, 0) = 0, 0 0, u(0, t) = 0, t> 0, U (TT, t) = 0, t2 0, u(x, 0) = ? (7 - 2), 0

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