\[ x \left (x^2+2\right ) y''(x)-y'(x)-6 x y(x)=0 \] ✓ Mathematica : cpu = 0.0462461 (sec), leaf count = 60
DSolve[-6*x*y[x] - Derivative[1][y][x] + x*(2 + x^2)*Derivative[2][y][x] == 0,y[x],x]
\[\left \{\left \{y(x)\to c_1 x^{3/2} \left (x^2+2\right )^{3/4}-\frac {c_2 \left (x^2+2\right )^{3/4} \, _2F_1\left (-\frac {3}{4},\frac {7}{4};\frac {1}{4};-\frac {x^2}{2}\right )}{3\ 2^{3/4}}\right \}\right \}\] ✓ Maple : cpu = 0.09 (sec), leaf count = 31
dsolve(x*(x^2+2)*diff(diff(y(x),x),x)-diff(y(x),x)-6*x*y(x)=0,y(x))
\[y \left (x \right ) = \left (x^{2}+2\right )^{\frac {3}{4}} \left (x^{\frac {3}{2}} c_{1}+\hypergeom \left (\left [-\frac {3}{4}, \frac {7}{4}\right ], \left [\frac {1}{4}\right ], -\frac {x^{2}}{2}\right ) c_{2}\right )\]