\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) ={\frac { \left ( y \left ( x \right ) -x+\ln \left ( 1+x \right ) \right ) ^{2}+x}{1+x}}=0} \]
Mathematica: cpu = 0.023503 (sec), leaf count = 24 \[ \left \{\left \{y(x)\to \frac {1}{c_1-\log (x+1)}+x-\log (x+1)\right \}\right \} \]
Maple: cpu = 0.047 (sec), leaf count = 39 \[ \left \{ y \left ( x \right ) =-{\frac { \left ( \ln \left ( 1+x \right ) \right ) ^{2}+{\it \_C1}\,\ln \left ( 1+x \right ) -x\ln \left ( 1+x \right ) -x{\it \_C1}+1}{\ln \left ( 1+x \right ) +{\it \_C1}}} \right \} \]