I am currently working on a project to solve a differential equation.

The differential equation is like:

\frac{d^2f}{dt^2} + F[f] \left( \frac{df}{dt} \right)^2 + G[f] \frac{df}{dt} + H[f] = 0,

and with conditions f(0) = f_0 and \lim_{t\to\infty} f(t) = 0.

Can someone please guide me on achieving this asymptotic boundary condition using DifferentialEquations?

Any help or suggestions would be greatly appreciated!