\[ y''(x)=\frac {y'(x)}{x \log (x)}+y(x) \log ^2(x) \] ✓ Mathematica : cpu = 0.0118503 (sec), leaf count = 29
\[\{\{y(x)\to c_1 \cosh (x (\log (x)-1))+i c_2 \sinh (x (\log (x)-1))\}\}\] ✓ Maple : cpu = 0.01 (sec), leaf count = 23
\[y \relax (x ) = c_{1} \sinh \left (x \left (\ln \relax (x )-1\right )\right )+c_{2} \cosh \left (x \left (\ln \relax (x )-1\right )\right )\]