\[ \left (x^2+2\right ) y^{(3)}(x)+\left (x^2+2\right ) y'(x)-2 x y''(x)-2 x y(x)=0 \] ✓ Mathematica : cpu = 0.102681 (sec), leaf count = 43
DSolve[-2*x*y[x] + (2 + x^2)*Derivative[1][y][x] - 2*x*Derivative[2][y][x] + (2 + x^2)*Derivative[3][y][x] == 0,y[x],x]
\[\left \{\left \{y(x)\to \frac {c_1 x^2}{2}+\frac {1}{2} i c_2 e^{-i x}-\frac {1}{4} c_3 e^{i x}\right \}\right \}\] ✓ Maple : cpu = 0.169 (sec), leaf count = 18
dsolve((x^2+2)*diff(diff(diff(y(x),x),x),x)-2*x*diff(diff(y(x),x),x)+(x^2+2)*diff(y(x),x)-2*x*y(x)=0,y(x))
\[y \left (x \right ) = c_{1} x^{2}+c_{2} \cos \left (x \right )+c_{3} \sin \left (x \right )\]