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Question: with the bc hint u is a singlevaule function...

Question details

(\frac{\partial ^{2}}{\partial r^{2}}+\frac{1\partial }{r\partial r}+\frac{1\partial ^{2}}{r^{2}\partial \theta ^{2}})u=0a\leq r\leq \infty ,0\leq \theta \leq 2\pi

with the B.C. u(a,\theta )=f(\theta ) .

Hint: u is a single-vaule function of \theta and finite at r=\infty.

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