\[ y''(x)=\frac {2 y(x)}{(x-1)^2 x} \] ✓ Mathematica : cpu = 0.0246884 (sec), leaf count = 33
\[\left \{\left \{y(x)\to \frac {-c_2 x^2-c_1 x+2 c_2 x \log (x)+c_2}{x-1}\right \}\right \}\]
✓ Maple : cpu = 0.03 (sec), leaf count = 27
\[ \left \{ y \left ( x \right ) ={\frac {2\,\ln \left ( x \right ) {\it \_C2}\,x-{\it \_C2}\,{x}^{2}+{\it \_C1}\,x+{\it \_C2}}{x-1}} \right \} \]