The steady-state distribution of temperature on a heated plate can be modeled by the Laplace equation: aT aT 0 = + dy? dx? If the plate is represented by a series of nodes (Fig. 2), centered finite-divided differences can be substituted for the second derivatives, which results in a system of linear algebraic equations. Use the Gauss-Seidel method to solve for the temperatures of the nodes in Fig. 2 and develop a MATLAB code to solve the same equations. 25°C 25°C T12 T22 200°C 0°C Tu 721 200°C 0°C 75°C 75°C