\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) =1/2\,{\frac {-\sin \left ( 2\,y \left ( x \right ) \right ) x-\sin \left ( 2\,y \left ( x \right ) \right ) +x\cos \left ( 2\,y \left ( x \right ) \right ) +x}{x \left ( 1+x \right ) }}=0} \]
Mathematica: cpu = 0.269534 (sec), leaf count = 23 \[ \left \{\left \{y(x)\to \tan ^{-1}\left (\frac {-c_1+x-\log (x+1)+1}{x}\right )\right \}\right \} \]
Maple: cpu = 0.468 (sec), leaf count = 22 \[ \left \{ y \left ( x \right ) =-\arctan \left ( {\frac {\ln \left ( 1+x \right ) -x-{\it \_C1}}{x}} \right ) \right \} \]