This question worth 10 points for the final. The purpose of this question is to solve more complicated forced vibration problem with initial conditions using MATLAB build-in command ode45. Refer examples in textbooks on detailed procedure if needed. The equation of motion of a viscously damped three-degree-of-freedom system is given in matrix form as:

Air (c-1.006 kj/kg. k, r-0.287 kj/kg. k) enters a nozzle steadily at 280 kpa and 77°c with a velocity of 50 m/s and exits at 85 kpa and 320 m/s. the heat losses from the nozzle to the surrounding medium at 20°c are estimated to be 3.2 kj/kg. determine (a) the exit temperature and (b) the total entropy change for this process. solve this problem using constant specific heats.