\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) =1/2\,{\frac {1}{x \left ( 1+x \right ) } \left ( -\sin \left ( {\frac {y \left ( x \right ) }{x}} \right ) y \left ( x \right ) x-y \left ( x \right ) \sin \left ( {\frac {y \left ( x \right ) }{x}} \right ) +y \left ( x \right ) \sin \left ( 3/2\,{\frac {y \left ( x \right ) }{x}} \right ) \cos \left ( 1/2\,{\frac {y \left ( x \right ) }{x}} \right ) x+y \left ( x \right ) \sin \left ( 3/2\,{\frac {y \left ( x \right ) }{x}} \right ) \cos \left ( 1/2\,{\frac {y \left ( x \right ) }{x}} \right ) +y \left ( x \right ) \cos \left ( 1/2\,{\frac {y \left ( x \right ) }{x}} \right ) \sin \left ( 1/2\,{\frac {y \left ( x \right ) }{x}} \right ) x+y \left ( x \right ) \cos \left ( 1/2\,{\frac {y \left ( x \right ) }{x}} \right ) \sin \left ( 1/2\,{\frac {y \left ( x \right ) }{x}} \right ) +2\,\sin \left ( {\frac {y \left ( x \right ) }{x}} \right ) {x}^{4}\cos \left ( 1/2\,{\frac {y \left ( x \right ) }{x}} \right ) \sin \left ( 1/2\,{\frac {y \left ( x \right ) }{x}} \right ) \right ) \left ( \cos \left ( {\frac {y \left ( x \right ) }{x}} \right ) \right ) ^{-1} \left ( \cos \left ( 1/2\,{\frac {y \left ( x \right ) }{x}} \right ) \right ) ^{-1} \left ( \sin \left ( 1/2\,{\frac {y \left ( x \right ) }{x}} \right ) \right ) ^{-1}}=0} \]
Mathematica: cpu = 0.084511 (sec), leaf count = 30 \[ \left \{\left \{y(x)\to x \sin ^{-1}\left ((x+1) e^{c_1+\frac {x^2}{2}-x-\frac {3}{2}}\right )\right \}\right \} \]
Maple: cpu = 0.109 (sec), leaf count = 45 \[ \left \{ y \left ( x \right ) ={\frac {x}{2}\arccos \left ( {\frac {{ {\rm e}^{{x}^{2}}}{\it \_C1}\,{x}^{2}}{ \left ( {{\rm e}^{x}} \right ) ^ {2}}}+2\,{\frac {{{\rm e}^{{x}^{2}}}{\it \_C1}\,x}{ \left ( {{\rm e}^{x }} \right ) ^{2}}}+{\frac {{{\rm e}^{{x}^{2}}}{\it \_C1}}{ \left ( { {\rm e}^{x}} \right ) ^{2}}}+1 \right ) } \right \} \]