Let u = u(z. y. t) satisfy the following PDE and boundary conditions: &2U,, + uyy = 0. 0 < y < 1. 5 E R, t > 0, uy(z. 0, t) = 0, uy(z, 1. t) + &%Ltt(S. 1. t) = 0. z E R, t > 0, where E is small. Assuming a perturbation expansion u = uo(z.t) + U1(z,y.t)E2 + ... . show that uo satisfies the wave equation.

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A: That's easy. Have a great day!!!

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