After some algebraic manipulations the DE becomes...
... where y is the independent variable. The (1) is a Riccati's equation, the solution of which is in most cases a little hard...
Solve the following ODE :
It is not Linear or Bernoulli in x or y.
It is not Exact.
It is not Separable.
It can not be converted it to an exact equation by the integrating factor.
I tried to substitute to get:
Which is ,again, I do not know what is its type!
Maybe it can be solved by inspection, but I can not figure it out.