\[ 4 x^3 y'(x)+x^2 y''(x)+\left (4 x^4+2 x^2+1\right ) y(x)=0 \] ✓ Mathematica : cpu = 0.0558947 (sec), leaf count = 60
\[\left \{\left \{y(x)\to \frac {1}{3} e^{-x^2} x^{\frac {1}{2}-\frac {i \sqrt {3}}{2}} \left (3 c_1-i \sqrt {3} c_2 x^{i \sqrt {3}}\right )\right \}\right \}\]
✓ Maple : cpu = 0.056 (sec), leaf count = 36
\[ \left \{ y \left ( x \right ) ={{\rm e}^{-{x}^{2}}} \left ( {x}^{{\frac {1}{2}}-{\frac {i}{2}}\sqrt {3}}{\it \_C2}+{x}^{{\frac {1}{2}}+{\frac {i}{2}}\sqrt {3}}{\it \_C1} \right ) \right \} \]