1. Solve the heat equation du = k dx2 dy?, in two dimensional rectangular region 0 < x < L, 0 < y < H, subject to the initial condition u(x, y,0) = f(x, y) and the following boundary conditions: a) ди (0, y, t) = 0, ди (L, y,t) = 0, ди du (x, H,t) = 0, ду (x,0, t) = 0, b) ди (L, y,t) = 0, ди ди u(0, y, t) = 0, (x,0, t) = 0, ду (x, H, t) = 0 dy

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Q: 1. If f(x, y) = x 2y +1' use the definition to find TUT af (x, y) ду

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A: Note: - According to the company policy we can attempt only one question so please upload the next…

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Q: u:(x, t) = и (т, Urz(T, t) u,(0, t) = uz(1, t) = 0 u(x,0) = f(x)

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