12. Find the solution of the initial boundary-value problem Utt = c²²u, 0 0, u (x, y,0) = sin² x sin ny, ut (x, y,0) = 0, 0≤x≤1, 0≤ y ≤ 1, u (0, y, t) = 0, u (x, 0, t) = 0, u (1, y, t) = 0, 0≤ y ≤ 1, t> 0, u (x, 1, t) = 0, 0≤x≤ 1, t> 0.

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