\[ x^5 (-\log (x))+x^2 y''(x)-2 x y'(x)+2 y(x)=0 \] ✓ Mathematica : cpu = 0.0193525 (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 = 0.105 (sec), leaf count = 25
\[ \left \{ y \left ( x \right ) ={\frac {{x}^{5}\ln \left ( x \right ) }{12}}-{\frac {7\,{x}^{5}}{144}}+{\it \_C1}\,{x}^{2}+x{\it \_C2} \right \} \]