Solve Laplace’s equation inside a rectangle 0 ≤ x ≤ L, 0 ≤ y ≤ H, with the following bou...

Solve Laplace’s equation inside a rectangle 0 ≤ x ≤ L, 0 ≤ y ≤ H, with the following boundary conditions [Hint: Separate variables. If there are two homogeneous boundary conditions in y, let u(x, y) = h(x)??(y), and if there are two homogeneous boundary conditions in x, let u(x, y) = ?? (x)h(y).]: