\[ x^5 (-\log (x))+x^2 y''(x)-2 x y'(x)+2 y(x)=0 \] ✓ Mathematica : cpu = 0.0082954 (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 = 0.026 (sec), leaf count = 25
\[\left \{y \left (x \right ) = \frac {x^{5} \ln \left (x \right )}{12}-\frac {7 x^{5}}{144}+c_{2} x^{2}+c_{1} x\right \}\]