1. Two large stainless steel plates at temperatures of 90C and 70C are separated by a stainless steel rod 0.3m long and 2.5cm in diameter. The thermal conductivity of type 304 stainless steel is k=16.2 W/mK. The rod is welded to each plate. The space between the plates is filled with insulation so that no heat is lost from the circumference of the rod. Because of a voltage difference between the two plates, current flows through the rod, resulting in a uniform heat generation rate of 1.5105W/m3. a) Solve for the temperature distribution in the rod as a function of position x analytically (integrate the equation). b) Determine the maximum temperature in the rod. Where does it occur? c) Solve for the temperature distribution in the rod as a function of position x using the finite difference method. Assume a x of 0.05m. How does this compare to the exact solution