\[ y''(x)=\frac {(5 x-4) y'(x)}{(x-1) x}-\frac {(9 x-6) y(x)}{(x-1) x^2} \] ✓ Mathematica : cpu = 0.0317591 (sec), leaf count = 24
\[\left \{\left \{y(x)\to x^2 \left (c_1 x-c_2 (x \log (x)+1)\right )\right \}\right \}\]
✓ Maple : cpu = 0.031 (sec), leaf count = 18
\[ \left \{ y \left ( x \right ) ={x}^{2} \left ( \ln \left ( x \right ) {\it \_C2}\,x+{\it \_C1}\,x+{\it \_C2} \right ) \right \} \]