Chapter 12.5, Problem 3E

In Problems 1–10 solve Laplace’s equation (1) for a rectangular plate subject to the given boundary conditions.

3. $\begin{array}{l}u\left(0,y\right)=0,u\left(a,y\right)=0\\ u\left(x,0\right)=f\left(x\right),u\left(x,b\right)=0\end{array}$