\[ y''(x)=\frac {(5 x-4) y'(x)}{(x-1) x}-\frac {(9 x-6) y(x)}{(x-1) x^2} \] ✓ Mathematica : cpu = 0.0316769 (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 = 0.033 (sec), leaf count = 21
\[ \left \{ y \left ( x \right ) ={\it \_C1}\,{x}^{3}+{\it \_C2}\,{x}^{2} \left ( x\ln \left ( x \right ) +1 \right ) \right \} \]