\[
\boxed{
 \left( b \left( \beta\,y \left( x \right) +\alpha\,x \right) ^{2}-\beta\, \left( ax+by \left( x \right)  \right)  \right) {\frac {\rm d}{{\rm d}x}}y \left( x \right) +a \left( \beta\,y \left( x \right) +\alpha\,x \right) ^{2}-\alpha\, \left( ax+by \left( x \right)  \right) =0}
\]