\[
\boxed{
axy \left( x \right)  \left( {\frac {\rm d}{{\rm d}x}}y \left( x \right)  \right) ^{2}- \left( a \left( y \left( x \right)  \right) ^{2}+b{x}^{2}+c \right) {\frac {\rm d}{{\rm d}x}}y \left( x \right) +bxy \left( x \right) =0}
\]