In 14, find the steady-state temperature u(r, u) in a circular plate of radius 1 if the

Chapter 14, Problem 3

(choose chapter or problem)

In Problems 1–4, find the steady-state temperature \(u(r, \theta)\) in a circular plate of radius 1 if the temperature on the circumference is as given.

\(u(1, \theta)=2 \pi \theta-\theta^{2}\),   \(0<\theta<2 \pi\)

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