\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) - \left ( \sin \left ( \ln \left ( x \right ) \right ) +\cos \left ( \ln \left ( x \right ) \right ) +a \right ) y \left ( x \right ) =0} \]
Mathematica: cpu = 0.015502 (sec), leaf count = 19 \[ \left \{\left \{y(x)\to c_1 e^{a x+x \sin (\log (x))}\right \}\right \} \]
Maple: cpu = 0.015 (sec), leaf count = 16 \[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\rm e}^{\sin \left ( \ln \left ( x \right ) \right ) x+ax}} \right \} \]
Sage: cpu = 0.004 (sec), leaf count = 0 \[ \left [c e^{\left (a x + \frac {1}{2} \, x {\left (\cos \left (\log \left (x\right )\right ) + \sin \left (\log \left (x\right )\right )\right )} - \frac {1}{2} \, x {\left (\cos \left (\log \left (x\right )\right ) - \sin \left (\log \left (x\right )\right )\right )}\right )}, \text {\texttt {linear}}\right ] \]