\[ 50 (x-1) x y''(x)+25 (2 x-1) y'(x)-2 y(x)=0 \] ✓ Mathematica : cpu = 0.0323796 (sec), leaf count = 42
\[\left \{\left \{y(x)\to c_2 \sin \left (\frac {2}{5} \sin ^{-1}\left (\sqrt {1-x}\right )\right )+c_1 \cos \left (\frac {2}{5} \sin ^{-1}\left (\sqrt {1-x}\right )\right )\right \}\right \}\] ✓ Maple : cpu = 0.05 (sec), leaf count = 31
\[y \relax (x ) = \frac {c_{1} \left (\sqrt {x}+\sqrt {x -1}\right )^{\frac {4}{5}}+c_{2}}{\left (\sqrt {x}+\sqrt {x -1}\right )^{\frac {2}{5}}}\]