\[ x y'(x) \cot \left (\frac {y(x)}{x}\right )+2 x \sin \left (\frac {y(x)}{x}\right )-y(x) \cot \left (\frac {y(x)}{x}\right )=0 \] ✓ Mathematica : cpu = 0.231829 (sec), leaf count = 15
\[\left \{\left \{y(x)\to x \csc ^{-1}(2 (\log (x)+c_1))\right \}\right \}\] ✓ Maple : cpu = 0.046 (sec), leaf count = 17
\[y \relax (x ) = \arcsin \left (\frac {1}{2 \ln \relax (x )+2 c_{1}}\right ) x\]