Question: (12.1) Solve the vibrating string problem of length L with ends fixed at x = 0 and free at x = L, respectively, Utt =cUxx,

(12.1) Solve the vibrating string problem of length L with ends fixed at x = 0 and free at x = L, respectively, Utt =cUxx, U(0, t) = 0, 0 < x 0 ux (L, t) = 0, with the initial conditions 7TX u (x, ) = 3 sin 21' 3 ut (x, 0) = 17 sin , 21' 0

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