\[ \boxed { 9\,x \left ( x-1 \right ) {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) +3\, \left ( 2\,x-1 \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -20\,y \left ( x \right ) =0} \]
Mathematica: cpu = 0.018502 (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 = 0.016 (sec), leaf count = 27 \[ \left \{ y \left ( x \right ) ={\it \_C1}\, \left ( 6\,x-5 \right ) {x}^{{ \frac {2}{3}}}+{\it \_C2}\, \left ( 6\,x-1 \right ) \left ( x-1 \right ) ^{{\frac {2}{3}}} \right \} \]