1. The problem statement, all variables and given/known data I'm having issues with a deceptively simple Laplace problem. If anybody could point me in the right direction it would be fantastic. It's just Laplace's equation on the square [0.1]x[0,1] (or any rectangle you like) with a mixed boundary. 2. Relevant equations Uxx+Uyy=0 Ux(0,y)= a (some constant) Ux(1,y)= 0 U(x,0)=0 Uy(x,1)=0 3. The attempt at a solution The main thing I've tried is just an ordinary seperable solution, but it's definitely not seperable. I need something different.