\[ \boxed { 144\,x \left ( x-1 \right ) {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) + \left ( 168\,x-96 \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +y \left ( x \right ) =0} \]
Mathematica: cpu = 0.070009 (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 = 0.047 (sec), leaf count = 35 \[ \left \{ y \left ( x \right ) ={\it \_C1}\,\sqrt [6]{x}{\it LegendreP} \left ( -{\frac {1}{2}},{\frac {1}{3}},\sqrt {1-x} \right ) +{\it \_C2} \,\sqrt [6]{x}{\it LegendreQ} \left ( -{\frac {1}{2}},{\frac {1}{3}}, \sqrt {1-x} \right ) \right \} \]