Use the Fourier transform to find the solution of the following initial boundaryvalue Laplace equations uxx...

Use the Fourier transform to find the solution of the following initial boundaryvalue Laplace equations

uxx + uyy = 0, −∞ < x < ∞ 0 < y < a,

u(x, 0) = f(x), u(x, a) = 0, −∞ < x < ∞

u(x, y) → 0 uniformlyiny as|x| → ∞.

Expert Solution

Colby Messinger answered 2 years ago

Use a Laplace Transform technique to find the solution to the differential equation (ie. initial value...

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Solving Differential Equations using Laplace Transform

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