Phys761/F10/Hassam/Problem 3 Due Sep 21 2010 Solve for f(r, θ ) correct to 2 nd order in the small parameter 1/ Λ << 1 if f is single valued and satisfies Λ ∂ 2 f/ ∂θ 2 + r ∂ f/ ∂ r = - α r (1+cos θ )f. Solve it assuming α r ~ O(1). Your solution to f 2 (r, θ ) should be determined upto only an additive function of r.
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