Following are the two sets of coupled nonlinear differential equations:
$$ \begin{align} \frac{x}{1-x}\cdot\frac{dy}{dt}+\frac{y}{(1-x)^{2}}\cdot\frac{dx}{dt}&=AF-\left(A+B\right)\cdot x\\ \\ \frac{dy}{dt}&=C-B\cdot(1-x) \end{align} $$
where, $x$ and $y$ are dependent variables on independent variable $t$. $A$, $F$, $B$, and $C$ are constants
at $t=0$, $x=0$, $y=y_{0}$ (Initial condition)
Hint...the left-hand side of the first equation is equivalent to $$\frac{d}{dt}\left(\frac{xy}{(1-x)^2}\right)$$
Can you take it from there?