Solve the Neumann problem for a circular plate: 02 u 0r2 1 r 0u 0r 1 r2 02 u 0u2 0, 0
Chapter 14, Problem 22(choose chapter or problem)
Solve the Neumann problem for a circular plate:
\(\frac{\partial^{2} u}{\partial r^{2}}+\frac{1}{r} \frac{\partial u}{\partial r}+\frac{1}{r^{2}} \frac{\partial^{2} u}{\partial \theta^{2}}=0\), \(0<\theta<2 \pi\), 0<r<c
\(\left.\frac{\partial u}{\partial r}\right|_{r=c}=f(\theta)\), \(0<\theta<2 \pi\)
Give the compatibility condition. [Hint: See Problem 21 of Exercises 13.5]
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