well... actually... I've checked the "Handbook of Exact Solutions for ODE's"
and I saw there that it is possible to to transform this Ricatti equation
into a second order linear one. However, my case is not the most general Riccati
equation, since the only non-constant function is f(t). I'm...
y'+f(t)y+y^2 = const
it's a riccati equation with only f(t) being
non-constant.
I know if I have one solution I can find the
general solution. But how can I find a particular
solution?! isn't these kind of equations standard?!