\[ 4 x^3 y'(x)+x^2 y''(x)+\left (4 x^4+2 x^2+1\right ) y(x)=0 \] ✓ Mathematica : cpu = 0.0541553 (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 = 0.065 (sec), leaf count = 36
\[\left \{y \left (x \right ) = \left (c_{1} x^{\frac {1}{2}+\frac {i \sqrt {3}}{2}}+c_{2} x^{\frac {1}{2}-\frac {i \sqrt {3}}{2}}\right ) {\mathrm e}^{-x^{2}}\right \}\]