\[ \boxed { {x}^{2}{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) -2\,x{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +2\,y \left ( x \right ) -{x}^{5}\ln \left ( x \right ) =0} \]
Mathematica: cpu = 0.018002 (sec), leaf count = 33 \[ \left \{\left \{y(x)\to c_2 x^2+c_1 x+\frac {1}{144} \left (12 x^5 \log (x)-7 x^5\right )\right \}\right \} \]
Maple: cpu = 0.031 (sec), leaf count = 24 \[ \left \{ y \left ( x \right ) =x{\it \_C2}+{\it \_C1}\,{x}^{2}+{\frac {{ x}^{5} \left ( 12\,\ln \left ( x \right ) -7 \right ) }{144}} \right \} \]