Solve the exterior Dirichlet problem for a circular plate

Chapter 13, Problem 13.1.5

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Solve the exterior Dirichlet problem for a circular plate of radius c if u(c, u) f(u), 0 u 2p. In other words, find the steady-state temperature u(r, u) in a plate that coincides with the entire xy-plane in which a circular hole of radius c has been cut out around the origin and the temperature on the circumference of the hole is f(u). [Hint: Assume that the temperature is bounded as .]

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