(adsbygoogle = window.adsbygoogle || []).push({}); 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

U_{xx}+U_{yy}=0

U_{x}(0,y)= a (some constant)

U_{x}(1,y)= 0

U(x,0)=0

U_{y}(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.

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# Laplace's equation on a rectangle (mixed bndy)

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