\[ x \left (x^2+2\right ) y''(x)-y'(x)-6 x y(x)=0 \] ✓ Mathematica : cpu = 0.10006 (sec), leaf count = 118
\[\left \{\left \{y(x)\to \frac {c_2 \left (-2 \sqrt [4]{2} x^2 \, _2F_1\left (\frac {1}{4},\frac {3}{4};\frac {5}{4};-\frac {x^2}{2}\right )-\sqrt [4]{2} x^4 \, _2F_1\left (\frac {1}{4},\frac {3}{4};\frac {5}{4};-\frac {x^2}{2}\right )-\sqrt [4]{x^2+2} x^2-\sqrt [4]{x^2+2}\right )}{3 \sqrt [4]{x^2+2}}+c_1 \left (x^2+2\right )^{3/4} x^{3/2}\right \}\right \}\]
✓ Maple : cpu = 0.116 (sec), leaf count = 31
\[ \left \{ y \left ( x \right ) = \left ( {x}^{2}+2 \right ) ^{{\frac {3}{4}}} \left ( {x}^{{\frac {3}{2}}}{\it \_C1}+{\mbox {$_2$F$_1$}(-{\frac {3}{4}},{\frac {7}{4}};\,{\frac {1}{4}};\,-{\frac {{x}^{2}}{2}})}{\it \_C2} \right ) \right \} \]