Write the model ODE and the implied initial values, and then solve the IVP to answer each of the f
ollowing:
[2*8=16pts]
(a) A 3kg mass is attached to a spring whose
constant is 6 N/m, and the entire system is submerged in a liquid which imparts a
damping force equal to 6 times the instantaneous velocity. The weight is released from equilibrium w
ith upward velocity of 4
m/s. Find the equation of motion of the mass