\[ \boxed { {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) ={\frac {{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) }{x \left ( \ln \left ( x \right ) -1 \right ) }}-{\frac {y \left ( x \right ) }{{x}^{2} \left ( \ln \left ( x \right ) -1 \right ) }}=0} \]
Mathematica: cpu = 0.346544 (sec), leaf count = 37 \[ \text {DSolve}\left [y''(x)=\frac {y'(x)}{x (\log (x)-1)}-\frac {y(x)}{x^2 (\log (x)-1)},y(x),x\right ] \]
Maple: cpu = 0.047 (sec), leaf count = 12 \[ \left \{ y \left ( x \right ) =x{\it \_C1}+{\it \_C2}\,\ln \left ( x \right ) \right \} \]