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