\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) =-{\frac { \left ( \ln \left ( y \left ( x \right ) \right ) x+\ln \left ( y \left ( x \right ) \right ) -x \right ) y \left ( x \right ) }{x \left ( 1+x \right ) }}=0} \]
Mathematica: cpu = 0.060508 (sec), leaf count = 26 \[ \left \{\left \{y(x)\to (x+1)^{-1/x} e^{1-\frac {c_1}{x}}\right \}\right \} \]
Maple: cpu = 0.093 (sec), leaf count = 22 \[ \left \{ y \left ( x \right ) ={\frac {{\rm e}}{\sqrt [x]{1+x}}{{\rm e}^ {{\frac {{\it \_C1}}{x}}}}} \right \} \]