\[ x y'(x)-y(x)-x \sin \left (\frac {y(x)}{x}\right )=0 \] ✓ Mathematica : cpu = 0.134421 (sec), leaf count = 19
\[\left \{\left \{y(x)\to 2 x \cot ^{-1}\left (\frac {e^{-c_1}}{x}\right )\right \}\right \}\] ✓ Maple : cpu = 0.079 (sec), leaf count = 44
\[\left \{y \left (x \right ) = x \arctan \left (\frac {2 c_{1} x}{c_{1}^{2} x^{2}+1}, \frac {-c_{1}^{2} x^{2}+1}{c_{1}^{2} x^{2}+1}\right )\right \}\]