\[ \boxed { {x}^{2}{\frac {{\rm d}^{3}}{{\rm d}{x}^{3}}}y \left ( x \right ) - \left ( {x}^{4}-6\,x \right ) {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) - \left ( 2\,{x}^{3}-6 \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +2\,{x}^{2}y \left ( x \right ) =0} \]
Mathematica: cpu = 0.055007 (sec), leaf count = 98 \[ \left \{\left \{y(x)\to \frac {c_2 \Gamma \left (\frac {1}{3}\right ) \, _2F_2\left (-\frac {2}{3},\frac {1}{3};\frac {2}{3},\frac {4}{3};\frac {x^3}{3}\right )}{3 x \Gamma \left (\frac {4}{3}\right )}+\frac {\sqrt [3]{-\frac {1}{3}} c_3 \Gamma \left (\frac {2}{3}\right ) \, _2F_2\left (-\frac {1}{3},\frac {2}{3};\frac {4}{3},\frac {5}{3};\frac {x^3}{3}\right )}{3 \Gamma \left (\frac {5}{3}\right )}+\frac {c_1}{x^2}\right \}\right \} \]
Maple: cpu = 0.328 (sec), leaf count = 109 \[ \left \{ y \left ( x \right ) ={\frac {{\it \_C1}}{{x}^{2}}}+{\frac {{ \it \_C2}}{{x}^{2}}\int \!{{\rm e}^{{\frac {{x}^{3}}{6}}}}\sqrt {x} \left ( {{\sl I}_{{\frac {1}{6}}}\left (-{\frac {{x}^{3}}{6}}\right )}{x }^{3}+{{\sl I}_{-{\frac {5}{6}}}\left (-{\frac {{x}^{3}}{6}}\right )}{x} ^{3}-2\,{{\sl I}_{1/6}\left (-1/6\,{x}^{3}\right )} \right ) \,{\rm d}x}+ {\frac {{\it \_C3}}{{x}^{2}}\int \!{{\rm e}^{{\frac {{x}^{3}}{6}}}} \sqrt {x} \left ( {{\sl K}_{{\frac {5}{6}}}\left (-{\frac {{x}^{3}}{6}} \right )}{x}^{3}-{{\sl K}_{{\frac {1}{6}}}\left (-{\frac {{x}^{3}}{6}} \right )}{x}^{3}+2\,{{\sl K}_{1/6}\left (-1/6\,{x}^{3}\right )} \right ) \,{\rm d}x} \right \} \]