\[ \left (x y'(x)-y(x)\right ) \cos ^2\left (\frac {y(x)}{x}\right )+x=0 \] ✓ Mathematica : cpu = 0.342501 (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 = 0.066 (sec), leaf count = 35
\[ \left \{ -{\frac {1}{2\,x} \left ( \cos \left ( {\frac {y \left ( x \right ) }{x}} \right ) \sin \left ( {\frac {y \left ( x \right ) }{x}} \right ) x+y \left ( x \right ) \right ) }-\ln \left ( x \right ) -{\it \_C1}=0 \right \} \]