Laplace's equation

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Laplace's Equation on an annulus (r=2 and R=4) with Dirichlet Boundary Conditions: u(r=2)=0 and u(r=4)=4sin(5*θ)

In mathematics, Laplace's equation is a second-order partial differential equation named after Pierre-Simon Laplace who first studied its properties. This is often written as:

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