\[ 144 (x-1) x y''(x)+(120 x-48) y'(x)+y(x)=0 \] ✓ Mathematica : cpu = 0.288875 (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 = 0.108 (sec), leaf count = 33
\[\left \{y \left (x \right ) = \left (c_{1} \LegendreP \left (-\frac {1}{2}, \frac {2}{3}, \sqrt {-x +1}\right )+c_{2} \LegendreQ \left (-\frac {1}{2}, \frac {2}{3}, \sqrt {-x +1}\right )\right ) x^{\frac {1}{3}}\right \}\]