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

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

Expert Solution

Colby Messinger answered 1 year ago

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