Consider steady two-dimensional heat transfer in a rectangular cross section (60 cm x 30 cm) with the prescribed temperatures at the left, right and bottom surfaces to be 0 C, and the top surface is given as 100sin(pi*x/60). Using a uniform mesh size delta_x = delta_y = 10 cm, determine (a) the finite difference equations and (b) the nodal temperatures. (The mesh contains 10 interior nodes, which are the nodes of interest when determining finite difference equations and nodal temperatures).