Most cars have resistance heating wires embedded in the rear window glass to defrost them. In this problem, assume that the heat generation is uniform, although the heating in generated near the wires. The window is 120 cm x 67 cm x 0.6 cm. The wires generate 12.1 KW throughout the volume of the window. Inside the car, the air temperature is 12C and outside it is -2C. The thermal conductivity of the glass is 0.84 W/m-K. Assume that there is no convective heat transfer resistance on either side of the window. dreamstime.com a) Generate the governing differential equation for the window, and write the boundary conditions. Explicitly note any assumptions made. ++ 9 V = D121 pc, C+vVT) = V kVT + " + b) Using the central difference method, calculate the steady-state temperature profile through the window using five uniformly spaced internal nodes. a) The dimensions and properties provided are realistic, except that a typical car defroster uses under 500 W. I had to use a much higher number so that an obvious effect of the heat generation term was apparent. This suggests that this problem formulation has done a poor job of modeling a rea car defroster. What do you think is the primary flaw in this model that causes it to fail to capture the real performance of a defroster