\[ x^5 (-\log (x))+x^2 y''(x)-2 x y'(x)+2 y(x)=0 \] ✓ Mathematica : cpu = 0.0072403 (sec), leaf count = 33
DSolve[-(x^5*Log[x]) + 2*y[x] - 2*x*Derivative[1][y][x] + x^2*Derivative[2][y][x] == 0,y[x],x]
\[\left \{\left \{y(x)\to \frac {1}{144} \left (12 x^5 \log (x)-7 x^5\right )+c_2 x^2+c_1 x\right \}\right \}\] ✓ Maple : cpu = 0.028 (sec), leaf count = 25
dsolve(x^2*diff(diff(y(x),x),x)-2*x*diff(y(x),x)+2*y(x)-x^5*ln(x)=0,y(x))
\[y \left (x \right ) = \frac {x^{5} \ln \left (x \right )}{12}-\frac {7 x^{5}}{144}+x^{2} c_{2}+c_{1} x\]