Solve Laplace's equation, a²u ax² + u(a, y) = 0 a²u ay² = 0, 0 < x <a, 0 < y < b, for a rectangular plate subject to the given boundary conditions. u(0, y) = 0, u(x, 0) = 0, u(x, b) = f(x) u(x, y) = 0 COS n 1 00 Σ + cos(a) sin (IX) *)] L L a where An = 2 csch (nb) f(x) sin(x) dx a eBook