\[ 144 (x-1) x y''(x)+(168 x-96) y'(x)+y(x)=0 \] ✓ Mathematica : cpu = 0.0648836 (sec), leaf count = 44
\[\left \{\left \{y(x)\to c_1 \, _2F_1\left (\frac {1}{12},\frac {1}{12};\frac {2}{3};x\right )+\sqrt [3]{-1} c_2 \sqrt [3]{x} \, _2F_1\left (\frac {5}{12},\frac {5}{12};\frac {4}{3};x\right )\right \}\right \}\] ✓ Maple : cpu = 0.108 (sec), leaf count = 33
\[\left \{y \left (x \right ) = \left (c_{1} \LegendreP \left (-\frac {1}{2}, \frac {1}{3}, \sqrt {-x +1}\right )+c_{2} \LegendreQ \left (-\frac {1}{2}, \frac {1}{3}, \sqrt {-x +1}\right )\right ) x^{\frac {1}{6}}\right \}\]