\[ -a x (\log (x)+1)+x \log (x) y'(x)+y(x)=0 \] ✓ Mathematica : cpu = 0.0308073 (sec), leaf count = 16
\[\left \{\left \{y(x)\to a x+\frac {c_1}{\log (x)}\right \}\right \}\] ✓ Maple : cpu = 0.007 (sec), leaf count = 14
\[\left \{y \left (x \right ) = a x +\frac {c_{1}}{\ln \left (x \right )}\right \}\]