Does anybody suggest how to face the inhomogeneous Bernoulli differential equation $y'+P(x)y=Q(x)y^n+f(x)$ for the simple case $f=const.$ and for the generic case. I would like to know about techniques of approximation, bounds, asymptotic limit, numerical techniques etc. Thank you Roberto

I presume your $f(t)$ should be $f(x)$. This is Chini's equation. See e.g. http://www.maplesoft.com/support/help/Maple/view.aspx?path=odeadvisor/Chini 

