\[ y''(x)=\frac {y'(x)}{x \log (x)}+y(x) \log ^2(x) \] ✓ Mathematica : cpu = 0.0133224 (sec), leaf count = 29
\[\{\{y(x)\to c_1 \cosh (x (\log (x)-1))+i c_2 \sinh (x (\log (x)-1))\}\}\] ✓ Maple : cpu = 0.011 (sec), leaf count = 23
\[\{y \left (x \right ) = c_{1} \sinh \left (\left (\ln \left (x \right )-1\right ) x \right )+c_{2} \cosh \left (\left (\ln \left (x \right )-1\right ) x \right )\}\]