\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) =1/2\,{\frac {1}{x} \left ( -y \left ( x \right ) \sin \left ( {\frac {y \left ( x \right ) }{x}} \right ) +y \left ( x \right ) \sin \left ( 3/2\,{\frac {y \left ( x \right ) }{x}} \right ) \cos \left ( 1/2\,{\frac {y \left ( x \right ) }{x}} \right ) +y \left ( x \right ) \cos \left ( 1/2\,{\frac {y \left ( x \right ) }{x}} \right ) \sin \left ( 1/2\,{\frac {y \left ( x \right ) }{x}} \right ) +2\,\sin \left ( {\frac {y \left ( x \right ) }{x}} \right ) {x}^{2}\sin \left ( 1/2\,{\frac {y \left ( x \right ) }{x}} \right ) \cos \left ( 1/2\,{\frac {y \left ( x \right ) }{x}} \right ) \right ) \left ( \cos \left ( {\frac {y \left ( x \right ) }{x}} \right ) \right ) ^{-1} \left ( \cos \left ( 1/2\,{\frac {y \left ( x \right ) }{x}} \right ) \right ) ^{-1} \left ( \sin \left ( 1/2\,{\frac {y \left ( x \right ) }{x}} \right ) \right ) ^{-1}}=0} \]
Mathematica: cpu = 0.035505 (sec), leaf count = 14 \[ \left \{\left \{y(x)\to x \sin ^{-1}\left (e^{c_1+x}\right )\right \}\right \} \]
Maple: cpu = 0.031 (sec), leaf count = 16 \[ \left \{ y \left ( x \right ) ={\frac {\arccos \left ( {\it \_C1}\, \left ( {{\rm e}^{x}} \right ) ^{2}+1 \right ) x}{2}} \right \} \]