\[ a \left (x y'(x)-y(x)\right )+\log \left (y'(x)\right )=0 \] ✓ Mathematica : cpu = 0.0048774 (sec), leaf count = 17
\[\left \{\left \{y(x)\to \frac {\log (c_1)}{a}+c_1 x\right \}\right \}\] ✓ Maple : cpu = 0.029 (sec), leaf count = 32
\[\left \{y \left (x \right ) = \frac {\ln \left (-\frac {1}{a x}\right )-1}{a}, y \left (x \right ) = c_{1} x +\frac {\ln \left (c_{1}\right )}{a}\right \}\]