5. Following figure shows an element on the face of a thin rectangular plate of thickness Az. The plate is insulated everywhere but at its edges, where the temperature can be set at a prescribed level. The insulation and the thinness of the plate mean that heat transfer is limited to the x and y dimensions. At steady state, the flow of heat into the element over a unit time period At must equal the flow out. Energy balance on this plate results in Laplace equation: 75C (2,1) (1,1) 100C 0C (2,2) (1,2) 50C aT aT x + x = 0 Use Gauss-Seidel to solve for the temperature of defined four points on the heated plate with an intervals of Ax-Ay.