Find the steady-state temperature u(r, u) in a semicircular plate of radius 1 if the

Chapter 14, Problem 6

(choose chapter or problem)

Find the steady-state temperature \(u(r, \theta)\) in a semicircular plate of radius 1 if the boundary-conditions are

\(u(1, \theta)=u_{0}\), \(0<\theta<\pi\)

u(r, 0)=0,  \(u(r, \pi)=u_{0}\),  0<r<1

where \(u_{0}\) is a constant.

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