4. Solve the wave equation utt (x, t) = a²uxx (x, t) + sin πx u(x,0) = 0, ut(x, 0) = сos Tx ux (0, t) = ux (1, t) = 0 fo

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4. Solve the wave equation utt (x, t) = a²uxx (x, t) + sin πx u(x,0) = 0, ut(x, 0) = сos Tx ux (0, t) = ux (1, t) = 0 fo

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4. Solve the wave equation utt (x, t) = a²uxx (x, t) + sin πx u(x,0) = 0, ut(x, 0) = сos Tx ux (0, t) = ux (1, t) = 0 for 0 <t. for 0 < x < 1, t > 0, for 0<x< 1,
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