\[ \left (a^2 x^3+a\right ) y(x)+\left (2 a x^3-1\right ) y'(x)+x y''(x)=0 \] ✗ Mathematica : cpu = 0.900904 (sec), leaf count = 0 , DifferentialRoot result
\[\left \{\left \{y(x)\to \text {DifferentialRoot}\left (\{\unicode {f818},\unicode {f817}\}\unicode {f4a1}\left \{\left (a^2 \unicode {f817}^3+a\right ) \unicode {f818}(\unicode {f817})+\left (2 \unicode {f817}^3 a-1\right ) \unicode {f818}'(\unicode {f817})+\unicode {f817} \unicode {f818}''(\unicode {f817})=0,\unicode {f818}(1)=c_1,\unicode {f818}'(1)=c_2\right \}\right )(x)\right \}\right \}\]
✓ Maple : cpu = 0.061 (sec), leaf count = 19
\[ \left \{ y \left ( x \right ) ={{\rm e}^{-{\frac {a{x}^{3}}{3}}}} \left ( {\it \_C2}\,{x}^{2}+{\it \_C1} \right ) \right \} \]