9.7 Problems In Problems 1 through 3, solve the Dirichlet problem for the In Problems 5 and 6, find a solution of Laplace's equation rectangle 0 0 that satisfies the given Uxx + uyy = 0; boundary conditions and the additional condition that u(x, y) ux (0, y) = ux(a, y) = u(x,0) = 0, is bounded as y + +co. u(x, b) = f(x) 7. u(0, y) = u(a, y) = 0, u(x, 0) = f(x) corresponding to a rectangular plate 0