Let the ends of a copper rod 100 cm long be maintained at 0 degrees Celsius. Suppose that the center of the bar is heated to over 100 degrees. Celsius by an external heat source and that this situation is maintained until a steady state results. Find the steady state temperature distribution. At t = 0 [after steady state part (a) has been reached], let the heat source be removed. At that the same instant let the end x= 0 be placed in thermal contact with a reservoir at 20 degree Celsius, while the other end remains at 0 degree Celsius. Find the temperature as a function of time u (x, t).