\[ -\left (x^4-6 x\right ) y''(x)-\left (2 x^3-6\right ) y'(x)+x^2 y^{(3)}(x)+2 x^2 y(x)=0 \] ✓ Mathematica : cpu = 0.104637 (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 = 0.409 (sec), leaf count = 104
\[\left \{y \left (x \right ) = \frac {c_{2} \left (\int \left (x^{3} \BesselI \left (-\frac {5}{6}, -\frac {x^{3}}{6}\right )+x^{3} \BesselI \left (\frac {1}{6}, -\frac {x^{3}}{6}\right )-2 \BesselI \left (\frac {1}{6}, -\frac {x^{3}}{6}\right )\right ) \sqrt {x}\, {\mathrm e}^{\frac {x^{3}}{6}}d x \right )+c_{3} \left (\int -\left (x^{3} \BesselK \left (\frac {1}{6}, -\frac {x^{3}}{6}\right )-x^{3} \BesselK \left (\frac {5}{6}, -\frac {x^{3}}{6}\right )-2 \BesselK \left (\frac {1}{6}, -\frac {x^{3}}{6}\right )\right ) \sqrt {x}\, {\mathrm e}^{\frac {x^{3}}{6}}d x \right )+c_{1}}{x^{2}}\right \}\]