\[ y''(x)=\frac {(5 x-4) y'(x)}{(x-1) x}-\frac {(9 x-6) y(x)}{(x-1) x^2} \] ✓ Mathematica : cpu = 0.0245233 (sec), leaf count = 25
\[\left \{\left \{y(x)\to c_1 x^3-c_2 x^2 (x \log (x)+1)\right \}\right \}\] ✓ Maple : cpu = 0.023 (sec), leaf count = 18
\[\{y \left (x \right ) = \left (c_{2} x \ln \left (x \right )+c_{1} x +c_{2}\right ) x^{2}\}\]