\[ y''(x)=-\frac {(1-3 x) y(x)}{(x-1) (2 x-1)^2} \] ✓ Mathematica : cpu = 0.0367789 (sec), leaf count = 70
\[\left \{\left \{y(x)\to c_2 \sqrt {1-2 x} (2 x \log (2 (x-1)+1)-2 \log (2 (x-1)+1)-2 x \log (x-1)+2 \log (x-1)-1)-c_1 \sqrt {1-2 x} (x-1)\right \}\right \}\] ✓ Maple : cpu = 0.059 (sec), leaf count = 42
\[ \left \{ y \left ( x \right ) = \left ( -2\,{\it \_C2}\, \left ( x-1 \right ) \ln \left ( 2\,x-1 \right ) +2\,{\it \_C2}\, \left ( x-1 \right ) \ln \left ( x-1 \right ) +{\it \_C1}\,x-{\it \_C1}+{\it \_C2} \right ) \sqrt {2\,x-1} \right \} \]