= = = A first order lag system is described by the following differential equation, if the system is disturbed with sine wave input, i.e., x(t) = sin(3t), where t is the time in minutes: dy 2 + 5y = x(t),y(0) = 0 dt Determine: (a) The open loop transfer function for the system (3 marks) (b) The amplitude ratio (5 marks) (c) The phase difference (4 marks) (d) The response after 20 minutes (4 marks) (e) The steady state error if the system is disturbed with a unit step (4 marks)