Solve Spring Mass Problem: Get Help Now!

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Homework Statement




Hi PF frens,
I've got the attached picture translated into differential equation representation.
However, not so sure how the r(t) and f multiply dee-y / dee-t comes about.
Kindly advise?

Homework Equations





The Attempt at a Solution



see attached jpeg.
 

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Hi there,

From what I can see, the f \frac{dy}{dt} seems to be the friction force applied on the system. I would guess r(t) the simple gravitational pull, but I might be mistaking.

Cheers
 
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