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Unformatted text preview: ACM 95/100c Problem Set 6 May 6, 2006 Due by 5:00PM on 5/12/2006 Please deposit all problem sets in the slot in 303 Firestone Please remember to include your section number and section instructor Each problem is worth 10 points  each part of a multipart problem is weighted equally Some of the solutions to some of the problems may be available from old solution sets. Your educational experience will be enhanced if you don't succumb to the temptation to use them but in general you can consult any written source out there for the non collaboration problems and you can collaborate freely on those problems marked collaboration allowed . Problem 1 (Collaboration allowed) Solve (using an appropriate two dimensional eigenfunc tion expansion) the Poisson equation ∇ 2 u = r cos(2 θ ) inside a circle of radius a subject to each set of boundary conditions given below. In case a solution may not exist indicate under what conditions it does....
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 Spring '09
 NilesA.Pierce
 Laplace, Polar coordinate system, Boundary conditions, Green's function, Laplace's equation

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