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MASS SPRING SYSTEMS problem (Differential Equations) A mass weighing 6 pounds, attached to the end of...

MASS SPRING SYSTEMS problem (Differential Equations)

A mass weighing 6 pounds, attached to the end of a spring, stretches it 6 inches.

If the weight is released from rest at a point 4 inches below the equilibrium position, the system is immersed in a liquid that offers a damping force numerically equal to 3 times the instantaneous velocity, solve:

a. Deduce the differential equation that models the mass-spring system.
b. Calculate the displacements of the mass ? (?) at all times “?”
c. Make a graph that shows the motion

Thanks

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