\[
\boxed{
 \left( axy \left( x \right) +b{x}^{n} \right) {\frac {\rm d}{{\rm d}x}}y \left( x \right) +\alpha\, \left( y \left( x \right)  \right) ^{3}+\beta\, \left( y \left( x \right)  \right) ^{2}=0}
\]