Question: Suppose that the force acting on a particle is factorable into one of the following forms; (a) F(xi, t) = f(xi) g(t) (b) F(xi, t)

Suppose that the force acting on a particle is factorable into one of the following forms;
(a) F(xi, t) = f(xi) g(t)
(b) F(xi, t) = f(xi) g(t)
(c) F(xi, xi) = f(xi) g(xi) for which cases are the equations of motion integral?

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