\[ \left (x y'(x)-y(x)\right ) \cos ^2\left (\frac {y(x)}{x}\right )+x=0 \] ✓ Mathematica : cpu = 0.363155 (sec), leaf count = 33
\[\text {Solve}\left [\frac {y(x)}{2 x}+\frac {1}{4} \sin \left (\frac {2 y(x)}{x}\right )=-\log (x)+c_1,y(x)\right ]\] ✓ Maple : cpu = 0.08 (sec), leaf count = 35
\[-\frac {\cos \left (\frac {y \relax (x )}{x}\right ) \sin \left (\frac {y \relax (x )}{x}\right ) x +y \relax (x )}{2 x}-\ln \relax (x )-c_{1} = 0\]