Originally Posted by
Danny I think you're on the right track with $\displaystyle g(x,y)$. Sub in your boundary conditions to find $\displaystyle \alpha, \beta, \gamma \; \text{and}\; \delta$. For $\displaystyle f(x,y)$ try $\displaystyle f(x,y) = Y(y)\, \cos 2 \pi x $