A 1-kilogram mass is attached to a spring whose constant is 27 N/m, and the entire system is then submerged in a liquid that imparts a damping force numerically equal to 12 times the instantaneous velocity. Determine the equations of motion if

a. the mass is initially released from rest from a point 1 meter below the equilibrium position.
b. the mass is initially released from a point 1 meter below the equilibrium position with an upward velocity of 12 m/s.