\[
\boxed{
{\frac {\rm d}{{\rm d}x}}y \left( x \right) ={\frac {y \left( x \right) +{x}^{3}b\ln  \left( {x}^{-1} \right) +{x}^{4}b+b{x}^{3}+xa \left( y \left( x \right)  \right) ^{2}\ln  \left( {x}^{-1} \right) +a{x}^{2} \left( y \left( x \right)  \right) ^{2}+ax \left( y \left( x \right)  \right) ^{2}}{x}}=0}
\]