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Find a solution u(x, t) of the following problem utt = 2uxx, 0 ≤ x ≤...

Find a solution u(x, t) of the following problem utt = 2uxx, 0 ≤ x ≤ 2 u(0, t) = u(2, t) = 0 u(x, 0) = 0, ut(x, 0) = sin πx − 2 sin 3πx.

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