I'm trying to find a general solution to:

$\displaystyle \frac{dy}{dx} = -A + \frac{f(x)}{y}$

where:

$\displaystyle f(x) = \frac{B}{(1+Cx)^2}$ , and the domain is [0,100], and C * x is above 1...

A, B, & C are constants...

I've tried several various substitutions to try and solve this, but feel exhausted in attempts and am looking for suggestions.