\[ -\left (x^4-6 x\right ) y''(x)-\left (2 x^3-6\right ) y'(x)+x^2 y^{(3)}(x)+2 x^2 y(x)=0 \] ✓ Mathematica : cpu = 0.0548894 (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 = 0.486 (sec), leaf count = 109
\[ \left \{ y \left ( x \right ) ={\frac {{\it \_C1}}{{x}^{2}}}+{\frac {{\it \_C2}}{{x}^{2}}\int \!{{\rm e}^{{\frac {{x}^{3}}{6}}}}\sqrt {x} \left ( {{\sl I}_{-{\frac {5}{6}}}\left (-{\frac {{x}^{3}}{6}}\right )}{x}^{3}+{{\sl I}_{{\frac {1}{6}}}\left (-{\frac {{x}^{3}}{6}}\right )}{x}^{3}-2\,{{\sl I}_{1/6}\left (-1/6\,{x}^{3}\right )} \right ) \,{\rm d}x}+{\frac {{\it \_C3}}{{x}^{2}}\int \!{{\rm e}^{{\frac {{x}^{3}}{6}}}}\sqrt {x} \left ( {{\sl K}_{{\frac {5}{6}}}\left (-{\frac {{x}^{3}}{6}}\right )}{x}^{3}-{{\sl K}_{{\frac {1}{6}}}\left (-{\frac {{x}^{3}}{6}}\right )}{x}^{3}+2\,{{\sl K}_{1/6}\left (-1/6\,{x}^{3}\right )} \right ) \,{\rm d}x} \right \} \]