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## Homework Statement

Solve the Laplace equation: delta u = d

^{2}u/dx

^{2}+d

^{2}u/dy

^{2}

inside the half disk 0<r<R, 0<phi<pi

Temperature on the bottom side of the disk is zero, u(x,y=0)=0. Temperature on the upper side of the disk is u(r=R, theta) = u

_{0}(phi), 0<phi<pi

## Homework Equations

I'm assuming the Laplace equation and the given bc conditions

## The Attempt at a Solution

I attempted the solution, which I think up until this point is correct, but I've gotten stuck trying to figure out the constants.

http://img708.imageshack.us/img708/707/p2150074.jpg [Broken]

Thank you all for your help.

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