\[ 4 x^3 y'(x)+x^2 y''(x)+\left (4 x^4+2 x^2+1\right ) y(x)=0 \] ✓ Mathematica : cpu = 0.056163 (sec), leaf count = 68
\[\left \{\left \{y(x)\to c_1 e^{-x^2} x^{\frac {1}{2}-\frac {i \sqrt {3}}{2}}-\frac {i c_2 e^{-x^2} x^{\frac {1}{2}+\frac {i \sqrt {3}}{2}}}{\sqrt {3}}\right \}\right \}\]
✓ Maple : cpu = 0.058 (sec), leaf count = 41
\[ \left \{ y \left ( x \right ) ={\it \_C1}\,{x}^{{\frac {1}{2}}+{\frac {i}{2}}\sqrt {3}}{{\rm e}^{-{x}^{2}}}+{\it \_C2}\,{x}^{{\frac {1}{2}}-{\frac {i}{2}}\sqrt {3}}{{\rm e}^{-{x}^{2}}} \right \} \]