Question

What is the meaning of "driven force"?

Answer 1

In what context? Do you mean "driving force"?

Answer 2

The inhomogeneous term F(t) represents an external driven force Ax''(t)+Bx'(t)+Cx=F(t).

Answer 3

That should be driving. It means that the system is being "driven" by some outside influence. Imagine a child on a swing who is being pushed from behind by a parent -> the parent is the driving force.