A 1 kg mass is attached to a spring with spring constant 6 N/m. The surrounding medium offers a resistance that is numerically equal to 5 times the instantaneous velocity. A driving force of 50 sin 4t (Newtons) is applied. NOTE: initial conditions are not needed to do this problem.(a) Write the governing equation (ODE) for x, and solve it to obtain the general solution x(t).(b) Write the transient term.(c) Write the steady state term. 1(d) What is the steady state amplitude? (with units)(e) What is the steady state frequency? (with units)(f) State the initial conditions if the mass is initially 2m above the equilibrium position and given a downward velocity of 3m/s.