2.1013   ODE No. 1013

\[ \left (-a^2 x^2-a\right ) y(x)+y''(x)=0 \] Mathematica : cpu = 0.0123819 (sec), leaf count = 43


\[\left \{\left \{y(x)\to c_1 D_{-1}\left (\sqrt {2} \sqrt {a} x\right )+c_2 D_0\left (i \sqrt {2} \sqrt {a} x\right )\right \}\right \}\] Maple : cpu = 0.04 (sec), leaf count = 22


\[y \relax (x ) = {\mathrm e}^{\frac {a \,x^{2}}{2}} \left (\erf \left (\sqrt {a}\, x \right ) c_{2}+c_{1}\right )\]