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Solve Laplace's equation inside a rectangle 0 ≤ x ≤ L, 0 ≤ y ≤ H,...

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Advance Math

Solve Laplace's equation inside a rectangle 0 ≤ x ≤ L, 0 ≤ y ≤H, with the following boundary conditions [Hint: Separatevariables. If there are two homogeneous boundary conditions in y,let u(x,y) = h(x)∅(y), and if there are two homogeneous boundaryconditions in x, let u(x,y) = ∅(x)h(y).]:

∂u/∂x(0,y) = 0

∂u/∂x(L,y) = 0

u(x,0) = 0

u(x,H) = f(x)

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