\[ x \left (x^2+2\right ) y''(x)-y'(x)-6 x y(x)=0 \] ✓ Mathematica : cpu = 0.115287 (sec), leaf count = 69
\[\left \{\left \{y(x)\to c_1 x^{3/2} \left (x^2+2\right )^{3/4}-\frac {1}{3} c_2 \left (\sqrt [4]{2} \left (x^2+2\right )^{3/4} x^2 \, _2F_1\left (\frac {1}{4},\frac {3}{4};\frac {5}{4};-\frac {x^2}{2}\right )+x^2+1\right )\right \}\right \}\]
✓ Maple : cpu = 0.116 (sec), leaf count = 31
\[ \left \{ y \left ( x \right ) = \left ( {x}^{2}+2 \right ) ^{{\frac {3}{4}}} \left ( {x}^{{\frac {3}{2}}}{\it \_C1}+{\mbox {$_2$F$_1$}(-{\frac {3}{4}},{\frac {7}{4}};\,{\frac {1}{4}};\,-{\frac {{x}^{2}}{2}})}{\it \_C2} \right ) \right \} \]