Problem 2 By hand Using central finite difference formulas, numerically solve the partial differential equation d²u du y- +3x- +xy=0 dr² ду if the solution domain is defined on x [0,3], [0,3] with boundary conditions u(x,0)=5, u(x,3)=8, u(0, y)=5, u(3, y) = 8, and grid spacing Ax = Ay = 1