\[ y''(x)=\frac {2 (x+1) y(x)}{(x-1) x}-\frac {2 (x-2) y'(x)}{(x-1) x} \] ✗ Mathematica : cpu = 0.826801 (sec), leaf count = 0 , DifferentialRoot result
\[\left \{\left \{y(x)\to (x)\right \}\right \}\]
✓ Maple : cpu = 0.014 (sec), leaf count = 17
\[\left \{y \left (x \right ) = \frac {c_{1}+c_{2} \left (x -1\right )^{3}}{x^{2}}\right \}\]