\[ x y'(x)-y(x)-x \sin \left (\frac {y(x)}{x}\right )=0 \] ✓ Mathematica : cpu = 0.0655887 (sec), leaf count = 19
\[\left \{\left \{y(x)\to 2 x \cot ^{-1}\left (\frac {e^{-c_1}}{x}\right )\right \}\right \}\]
✓ Maple : cpu = 0.089 (sec), leaf count = 44
\[ \left \{ y \left ( x \right ) =\arctan \left ( 2\,{\frac {{\it \_C1}\,x}{{{\it \_C1}}^{2}{x}^{2}+1}},{\frac {-{{\it \_C1}}^{2}{x}^{2}+1}{{{\it \_C1}}^{2}{x}^{2}+1}} \right ) x \right \} \]