\[ y''(x)=\frac {2 y(x)}{(x-1)^2 x} \] ✓ Mathematica : cpu = 0.0174604 (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 = 0.049 (sec), leaf count = 27
\[ \left \{ y \left ( x \right ) ={\frac {2\,\ln \left ( x \right ) {\it \_C2}\,x-{\it \_C2}\,{x}^{2}+{\it \_C1}\,x+{\it \_C2}}{x-1}} \right \} \]