\[ y''(x)=\frac {2 (x+1) y(x)}{(x-1) x}-\frac {2 (x-2) y'(x)}{(x-1) x} \] ✗ Mathematica : cpu = 0.671548 (sec), leaf count = 0
, DifferentialRoot result
\[\left \{\left \{y(x)\to (x)\right \}\right \}\]
✓ Maple : cpu = 0.015 (sec), leaf count = 17
\[y \relax (x ) = \frac {c_{1}+c_{2} \left (x -1\right )^{3}}{x^{2}}\]