\[ 9 (x-1) x y''(x)+3 (2 x-1) y'(x)-20 y(x)=0 \] ✓ Mathematica : cpu = 0.0186023 (sec), leaf count = 83
\[\left \{\left \{y(x)\to c_2 \sqrt [3]{1-x} \sqrt [3]{x} Q_1^{\frac {2}{3}}(2 x-1)-\frac {c_1 (2-2 x)^{2/3} \sqrt [3]{1-x} x^{2/3} (6 x-5)}{3\ 2^{2/3} (x-1) \Gamma \left (\frac {4}{3}\right )}\right \}\right \}\]
✓ Maple : cpu = 0.026 (sec), leaf count = 27
\[ \left \{ y \left ( x \right ) ={\it \_C1}\, \left ( 6\,x-5 \right ) {x}^{{\frac {2}{3}}}+{\it \_C2}\, \left ( 6\,x-1 \right ) \left ( x-1 \right ) ^{{\frac {2}{3}}} \right \} \]