(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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

2. Relevant equations

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

3. 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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# Homework Help: LaPlace Equation in Polar

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