Pregunta: Solve Laplace's equation, ∂x2∂2u+∂y2∂2u=0,0

Solve Laplace's equation, $\frac{{\partial }^{2}u}{\partial x^2}+\frac{{\partial }^{2}u}{\partial y^2}=0,0<x<a,0<y<b$, (see (1) in Section 12.5) for a rectangular plate subject to the given boundary conditions. $\begin{array}{ll}u(0,y)=0,& u(1,y)=0\\ u(x,0)=100,& u(x,1)=400\end{array}$ $u(x,y)=+{\sum }_{n=1}^{\infty }($