\[
\boxed{
{\frac {\rm d}{{\rm d}x}}y \left( x \right) ={\frac {y \left( x \right) }{ \left( \ln  \left( x \right) +1 \right) x} \left( -1-{x}^{2\, \left( \ln  \left( x \right) +1 \right) ^{-1}}{{\rm e}^{2\,{\frac { \left( \ln  \left( x \right)  \right) ^{2}}{\ln  \left( x \right) +1}}}}{x}^{2}-{x}^{2\, \left( \ln  \left( x \right) +1 \right) ^{-1}}{{\rm e}^{2\,{\frac { \left( \ln  \left( x \right)  \right) ^{2}}{\ln  \left( x \right) +1}}}}{x}^{2}\ln  \left( x \right) +{x}^{2\, \left( \ln  \left( x \right) +1 \right) ^{-1}}{{\rm e}^{2\,{\frac { \left( \ln  \left( x \right)  \right) ^{2}}{\ln  \left( x \right) +1}}}}{x}^{2}y \left( x \right) +2\,{x}^{2\, \left( \ln  \left( x \right) +1 \right) ^{-1}}{{\rm e}^{2\,{\frac { \left( \ln  \left( x \right)  \right) ^{2}}{\ln  \left( x \right) +1}}}}{x}^{2}y \left( x \right) \ln  \left( x \right) +{x}^{2\, \left( \ln  \left( x \right) +1 \right) ^{-1}}{{\rm e}^{2\,{\frac { \left( \ln  \left( x \right)  \right) ^{2}}{\ln  \left( x \right) +1}}}}{x}^{2}y \left( x \right)  \left( \ln  \left( x \right)  \right) ^{2} \right) }=0}
\]