\[ x^2 y''(x)+x^5 (-\log (x))-2 x y'(x)+2 y(x)=0 \] ✓ Mathematica : cpu = 0.0092527 (sec), leaf count = 33
\[\left \{\left \{y(x)\to \frac {1}{144} \left (12 x^5 \log (x)-7 x^5\right )+c_2 x^2+c_1 x\right \}\right \}\] ✓ Maple : cpu = 0.078 (sec), leaf count = 25
\[ \left \{ y \left ( x \right ) ={\frac {{x}^{5}\ln \left ( x \right ) }{12}}-{\frac {7\,{x}^{5}}{144}}+{\it \_C2}\,{x}^{2}+{\it \_C1}\,x \right \} \]