\[ x^5 (-\log (x))+x^2 y''(x)-2 x y'(x)+2 y(x)=0 \] ✓ Mathematica : cpu = 0.024677 (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 = 0.098 (sec), leaf count = 24
\[ \left \{ y \left ( x \right ) ={x}^{2}{\it \_C2}+x{\it \_C1}+{\frac {{x}^{5} \left ( 12\,\ln \left ( x \right ) -7 \right ) }{144}} \right \} \]