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9. Let R=[0, L] x [0, H]. Consider the following problem: u = Au-t Uv(x, y,t)=0, u(x, y, 0) = x+ y, (x, y)

 


9. Let R=[0, L] x [0, H]. Consider the following problem: u = Au-t Uv(x, y,t)=0, u(x, y, 0) = x+ y, (x, y) R,t> 0, (x, y) e aR,t> 0, (x, y) R, where u,, represents the normal derivative. Find the series solution. Does the solution decay to 0 as t o?

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