Solve Laplaces equation outside a circular disk (r a) subject to the boundary condition
Chapter 2, Problem 2.4.10(choose chapter or problem)
Solve Laplaces equation outside a circular disk (r a) subject to the boundary condition [Hint: In polar coordinates, 2u = 1 r r r u r + 1 r2 2u 2 = 0, it is known that if u(r, ) = () G(r), then r G d dr r dG dr = 1 d2 d2 .]: (a) u(a, ) = ln 2 + 4 cos 3 (b) u(a, ) = f() You may assume that u(r, ) remains finite as r .
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