For u(x,y) defined on the rectangular domain of 0

For u(x,y) defined on the rectangular domain of O S x S and 1 S y S 2, solve the PDE +Y 2y+5u = O with the boundary conditions (ux denotes au/x), (i) = O (ii) O (iii) u(x, 1) = 3 cos(3x) (iv) u(x, 2) = 17 cos(3x) For this problem, we expect a closed-form solution that consists of only a finite number of terms and without any unevaluated integrals. There will be a deduction if the requirement is not satisfied.