\[ y''(x)=\frac {y'(x)}{x \log (x)}+y(x) \log ^2(x) \] ✓ Mathematica : cpu = 0.0109026 (sec), leaf count = 29
\[\{\{y(x)\to c_1 \cosh (x (\log (x)-1))+i c_2 \sinh (x (\log (x)-1))\}\}\] ✓ Maple : cpu = 0.039 (sec), leaf count = 23
\[ \left \{ y \left ( x \right ) ={\it \_C1}\,\sinh \left ( x \left ( \ln \left ( x \right ) -1 \right ) \right ) +{\it \_C2}\,\cosh \left ( x \left ( \ln \left ( x \right ) -1 \right ) \right ) \right \} \]