\[ y'(x)-y(x) (a+\sin (\log (x))+\cos (\log (x)))=0 \] ✓ Mathematica : cpu = 0.0170532 (sec), leaf count = 19
\[\left \{\left \{y(x)\to c_1 e^{a x+x \sin (\log (x))}\right \}\right \}\]
✓ Maple : cpu = 0.01 (sec), leaf count = 16
\[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\rm e}^{\sin \left ( \ln \left ( x \right ) \right ) x+ax}} \right \} \]