Clear Steps Please"
A mass of 2 kg is attached to a spring with a spring constant of 5 N/cm. The spring is also attached to a viscous damper with a damping constant of 200 dyn-s/cm. If the mass is pushed upward, contracting the spring a distance of 3 cm, and then set in motion with a downward velocity of 36 cm/s, set up the initial value problem of the position u of the mass at any time t. Note that the downward direction is positive in the setting of Sections 3.7 and 3.8. Make sure to use the correct units. You don't need to solve the IVP!