\[
\boxed{
 \left( {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left( x \right)  \right) y \left( x \right) - \left( {\frac {\rm d}{{\rm d}x}}y \left( x \right)  \right) ^{2}+ay \left( x \right) {\frac {\rm d}{{\rm d}x}}y \left( x \right) -2\,a \left( y \left( x \right)  \right) ^{2}+b \left( y \left( x \right)  \right) ^{3}=0}
\]