\[ \boxed { {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) ={\frac {{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) }{x\ln \left ( x \right ) }}+ \left ( \ln \left ( x \right ) \right ) ^{2}y \left ( x \right ) =0} \]
Mathematica: cpu = 0.015502 (sec), leaf count = 29 \[ \left \{\left \{y(x)\to c_1 \cosh (x (\log (x)-1))+i c_2 \sinh (x (\log (x)-1))\right \}\right \} \]
Maple: cpu = 0.0 (sec), leaf count = 27 \[ \left \{ y \left ( x \right ) ={\it \_C1}\,\sinh \left ( x\ln \left ( x \right ) -x \right ) +{\it \_C2}\,\cosh \left ( x\ln \left ( x \right ) - x \right ) \right \} \]