\[ 144 (x-1) x y''(x)+(168 x-96) y'(x)+y(x)=0 \] ✓ Mathematica : cpu = 0.0624622 (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 = 0.07 (sec), leaf count = 35
\[ \left \{ y \left ( x \right ) ={\it \_C1}\,\sqrt [6]{x}{\it LegendreP} \left ( -{\frac {1}{2}},{\frac {1}{3}},\sqrt {1-x} \right ) +{\it \_C2}\,\sqrt [6]{x}{\it LegendreQ} \left ( -{\frac {1}{2}},{\frac {1}{3}},\sqrt {1-x} \right ) \right \} \]