\[ y''(x)=-\frac {(1-3 x) y(x)}{(x-1) (2 x-1)^2} \] ✓ Mathematica : cpu = 0.056992 (sec), leaf count = 51
\[\left \{\left \{y(x)\to -\sqrt {1-2 x} \left (c_1 x+2 c_2 (x-1) \log (x-1)-2 c_2 (x-1) \log (2 x-1)-c_1+c_2\right )\right \}\right \}\]
✓ Maple : cpu = 0.052 (sec), leaf count = 44
\[ \left \{ y \left ( x \right ) =\sqrt {2\,x-1} \left ( 2\,{\it \_C2}\, \left ( x-1 \right ) \ln \left ( 2\,x-1 \right ) -2\,{\it \_C2}\, \left ( x-1 \right ) \ln \left ( x-1 \right ) +{\it \_C1}\,x-{\it \_C1}-{\it \_C2} \right ) \right \} \]