Problem 11.3. Find a solution to the equation Utt = Uxx, x ¤ [0; 1], t ≥ 0, with ut(x, 0) = 0, for x = [0; 1/2], u(0, t) = 0, u(1, t) = 0, u(x,0) = 0, ut(x,0) = 1, for x € [1/2; 1],

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