\[ (120 x-48) y'(x)+144 (x-1) x y''(x)+y(x)=0 \] ✓ Mathematica : cpu = 0.2543 (sec), leaf count = 44
\[\left \{\left \{y(x)\to (-1)^{2/3} c_2 x^{2/3} \, _2F_1\left (\frac {7}{12},\frac {7}{12};\frac {5}{3};x\right )+c_1 \, _2F_1\left (-\frac {1}{12},-\frac {1}{12};\frac {1}{3};x\right )\right \}\right \}\] ✓ Maple : cpu = 0.343 (sec), leaf count = 33
\[ \left \{ y \left ( x \right ) =\sqrt [3]{x} \left ( {\it LegendreP} \left ( -{\frac {1}{2}},{\frac {2}{3}},\sqrt {1-x} \right ) {\it \_C1}+{\it LegendreQ} \left ( -{\frac {1}{2}},{\frac {2}{3}},\sqrt {1-x} \right ) {\it \_C2} \right ) \right \} \]