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## Homework Statement

I'm having issues with a Laplace problem. actually, I have two different boundary problems which I dont know how to solve analytically.

I couldn't find anything on this situations and if anybody could point me in the right direction it would be fantastic.

It's just Laplace's equation on the square [0,a]x[0,b] with a mixed boundary.

## Homework Equations

**the first one is:**

Uxx+Uyy=0

Ux(0,y)= 0

**Ux(a,y)= f(y) (some function)**

U(x,0)= 0

Uy(x,b)= v (some constant)

**the second is:**

Uxx+Uyy=0

Ux(0,y)= 0

**U(a,y)= g(y) (some function)**

U(x,0)= 0

Uy(x,b)= v (some constant)

## The Attempt at a Solution

I tried to do ordinary separable solution but I don't really know how to do this in such problems.