5. Solve Laplace’s equation \( \nabla^2 u = 0 \) for a rectangular plate subject to the givenboundary conditions \( \begin{cases} u(0, y) = 0 & u(2, y) = 100 \\ u(x, 0) = 0 & u(x, 1) = 200 \sin 4\pi x \end{cases} \) .(12%)