Solve the two-dimensional Laplace's equation J²u²u + dx² dy² 0 ≤ y ≤H, = cos I, subject to the boundary conditions (with respect to x) u(x,0) u(x, H) = 0 and the zero Dirichlet boundary conditions (with respect to y) u(0, y) = u(L, y) = 0, = 0, 0≤x≤L, a. by the method of separation of variables. b. by assuming that the solution u(x, y) has a Fourier sine series, that is, u(x, y) =B₁(y) sin(). n=1

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