\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) ={\frac {y \left ( x \right ) }{ \left ( \ln \left ( x \right ) +1 \right ) x} \left ( -1-{x}^{2\, \left ( \ln \left ( x \right ) +1 \right ) ^{-1}}{{\rm e}^{2\,{\frac { \left ( \ln \left ( x \right ) \right ) ^{2}}{\ln \left ( x \right ) +1}}}}{x}^{2}-{x}^{2\, \left ( \ln \left ( x \right ) +1 \right ) ^{-1}}{{\rm e}^{2\,{\frac { \left ( \ln \left ( x \right ) \right ) ^{2}}{\ln \left ( x \right ) +1}}}}{x}^{2}\ln \left ( x \right ) +{x}^{2\, \left ( \ln \left ( x \right ) +1 \right ) ^{-1}}{{\rm e}^{2\,{\frac { \left ( \ln \left ( x \right ) \right ) ^{2}}{\ln \left ( x \right ) +1}}}}{x}^{2}y \left ( x \right ) +2\,{x}^{2\, \left ( \ln \left ( x \right ) +1 \right ) ^{-1}}{{\rm e}^{2\,{\frac { \left ( \ln \left ( x \right ) \right ) ^{2}}{\ln \left ( x \right ) +1}}}}{x}^{2}y \left ( x \right ) \ln \left ( x \right ) +{x}^{2\, \left ( \ln \left ( x \right ) +1 \right ) ^{-1}}{{\rm e}^{2\,{\frac { \left ( \ln \left ( x \right ) \right ) ^{2}}{\ln \left ( x \right ) +1}}}}{x}^{2}y \left ( x \right ) \left ( \ln \left ( x \right ) \right ) ^{2} \right ) }=0} \]
Mathematica: cpu = 0.210527 (sec), leaf count = 28 \[ \left \{\left \{y(x)\to \frac {1}{\left (c_1 e^{\frac {x^4}{4}}+1\right ) (\log (x)+1)}\right \}\right \} \]
Maple: cpu = 0.062 (sec), leaf count = 197 \[ \left \{ y \left ( x \right ) ={1{{\rm e}^{-{\frac {{x}^{4}}{4}}}} \left ( \left ( \ln \left ( x \right ) \right ) ^{2}{{\rm e}^{{\frac {- {x}^{4}\ln \left ( x \right ) -{x}^{4}+8\, \left ( \ln \left ( x \right ) \right ) ^{2}-4\,\ln \left ( \ln \left ( x \right ) +1 \right ) \ln \left ( x \right ) -4\,\ln \left ( \ln \left ( x \right ) + 1 \right ) }{4\,\ln \left ( x \right ) +4}}}}{x}^{-2\,{\frac {\ln \left ( x \right ) }{\ln \left ( x \right ) +1}}}+2\,\ln \left ( x \right ) {{\rm e}^{1/4\,{\frac {-{x}^{4}\ln \left ( x \right ) -{x}^{4} +8\, \left ( \ln \left ( x \right ) \right ) ^{2}-4\,\ln \left ( \ln \left ( x \right ) +1 \right ) \ln \left ( x \right ) -4\,\ln \left ( \ln \left ( x \right ) +1 \right ) }{\ln \left ( x \right ) +1}}}}{x}^{-2 \,{\frac {\ln \left ( x \right ) }{\ln \left ( x \right ) +1}}}+{\it \_C1}\,\ln \left ( x \right ) +{{\rm e}^{{\frac {-{x}^{4}\ln \left ( x \right ) -{x}^{4}+8\, \left ( \ln \left ( x \right ) \right ) ^{2}-4\, \ln \left ( \ln \left ( x \right ) +1 \right ) \ln \left ( x \right ) -4 \,\ln \left ( \ln \left ( x \right ) +1 \right ) }{4\,\ln \left ( x \right ) +4}}}}{x}^{-2\,{\frac {\ln \left ( x \right ) }{\ln \left ( x \right ) +1}}}+{\it \_C1} \right ) ^{-1}} \right \} \]