\[ 25 (2 x-1) y'(x)+50 (x-1) x y''(x)-2 y(x)=0 \] ✓ Mathematica : cpu = 0.0388773 (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 = 0.132 (sec), leaf count = 31
\[ \left \{ y \left ( x \right ) ={ \left ( {\it \_C1}\, \left ( \sqrt {x}+\sqrt {x-1} \right ) ^{{\frac {4}{5}}}+{\it \_C2} \right ) \left ( \sqrt {x}+\sqrt {x-1} \right ) ^{-{\frac {2}{5}}}} \right \} \]