\[ y''(x)=\frac {2 y(x)}{(x-1)^2 x} \] ✓ Mathematica : cpu = 0.0156954 (sec), leaf count = 36
\[\left \{\left \{y(x)\to \frac {c_2 \left (-x^2+2 x \log (x)+1\right )}{x-1}-\frac {c_1 x}{x-1}\right \}\right \}\] ✓ Maple : cpu = 0.022 (sec), leaf count = 27
\[y \relax (x ) = \frac {2 \ln \relax (x ) c_{2} x -x^{2} c_{2}+c_{1} x +c_{2}}{x -1}\]