2.1211   ODE No. 1211

\[ 4 x^3 y'(x)+x^2 y''(x)+\left (4 x^4+2 x^2+1\right ) y(x)=0 \] Mathematica : cpu = 0.0399339 (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 = 0.057 (sec), leaf count = 36


\[y \relax (x ) = {\mathrm e}^{-x^{2}} \left (x^{\frac {1}{2}-\frac {i \sqrt {3}}{2}} c_{2}+x^{\frac {1}{2}+\frac {i \sqrt {3}}{2}} c_{1}\right )\]