2.1039   ODE No. 1039

  1. Problem in Latex
  2. Mathematica input
  3. Maple input

\[ y''(x)+x y'(x)+y(x)=0 \] Mathematica : cpu = 0.0099841 (sec), leaf count = 47

\[\left \{\left \{y(x)\to \sqrt {\frac {\pi }{2}} c_1 e^{-\frac {x^2}{2}} \text {erfi}\left (\frac {x}{\sqrt {2}}\right )+c_2 e^{-\frac {x^2}{2}}\right \}\right \}\] Maple : cpu = 0.014 (sec), leaf count = 25

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