\[
\boxed{
 \left( Bxy \left( x \right) +A{x}^{2}+ax+by \left( x \right) +c \right) {\frac {\rm d}{{\rm d}x}}y \left( x \right) -B \left( g \left( x \right)  \right) ^{2}+Axy \left( x \right) +\alpha\,x+\beta\,y \left( x \right) +\gamma=0}
\]