\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) =-{\frac { \left ( \ln \left ( y \left ( x \right ) \right ) x+\ln \left ( y \left ( x \right ) \right ) -1 \right ) y \left ( x \right ) }{1+x}}=0} \]
Mathematica: cpu = 0.073509 (sec), leaf count = 28 \[ \left \{\left \{y(x)\to e^{c_1 e^{-x}+e^{-x-1} \text {Ei}(x+1)}\right \}\right \} \]
Maple: cpu = 0.109 (sec), leaf count = 31 \[ \left \{ y \left ( x \right ) ={1{{\rm e}^{{\frac {{\it \_C1}}{{{\rm e}^ {x}}}}}} \left ( {{\rm e}^{{\frac {{\it Ei} \left ( 1,-1-x \right ) }{{ {\rm e}^{x}}{\rm e}}}}} \right ) ^{-1}} \right \} \]