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Laplace equation on an annulus

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Solve the 2D Laplace equation inside an annular region with inner radius a and outer radius b as depicted n figure. You are to solve the problem in the space. See attachment.

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Solution Summary

The 15 page solution demonstrates how to solve, step by step, the Laplace equation on an annular region.

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Dirichelet problem

I need to use separation of variables to solve Laplace's equation in the annular sector:

1< r<2, 0< theta< pi/2, u(1,theta)= f(theta), u(2,theta)=0, u(r,0)=0, u(r,pi/2)=0

Thank you!

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