\[ x \left (x^2+2\right ) y''(x)-y'(x)-6 x y(x)=0 \] ✓ Mathematica : cpu = 0.0624675 (sec), leaf count = 60
\[\left \{\left \{y(x)\to c_1 x^{3/2} \left (x^2+2\right )^{3/4}-\frac {c_2 \left (x^2+2\right )^{3/4} \, _2F_1\left (-\frac {3}{4},\frac {7}{4};\frac {1}{4};-\frac {x^2}{2}\right )}{3\ 2^{3/4}}\right \}\right \}\] ✓ Maple : cpu = 0.131 (sec), leaf count = 31
\[\left \{y \left (x \right ) = \left (x^{2}+2\right )^{\frac {3}{4}} \left (c_{1} x^{\frac {3}{2}}+c_{2} \hypergeom \left (\left [-\frac {3}{4}, \frac {7}{4}\right ], \left [\frac {1}{4}\right ], -\frac {x^{2}}{2}\right )\right )\right \}\]