\[ \boxed { {x}^{3}{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) -{x}^{2}{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +xy \left ( x \right ) - \left ( \ln \left ( x \right ) \right ) ^{3}=0} \]
Mathematica: cpu = 0.018502 (sec), leaf count = 41 \[ \left \{\left \{y(x)\to c_1 x+c_2 x \log (x)+\frac {2 \log ^3(x)+6 \log ^2(x)+9 \log (x)+6}{8 x}\right \}\right \} \]
Maple: cpu = 0.016 (sec), leaf count = 36 \[ \left \{ y \left ( x \right ) =x{\it \_C2}+x\ln \left ( x \right ) {\it \_C1}+{\frac {2\, \left ( \ln \left ( x \right ) \right ) ^{3}+6\, \left ( \ln \left ( x \right ) \right ) ^{2}+9\,\ln \left ( x \right ) + 6}{8\,x}} \right \} \]