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 = 0.0136982 (sec), leaf count = 41

\[\left \{\left \{y(x)\to \frac {1}{2} e^{-\frac {x^2}{2}} \left (\sqrt {2 \pi } c_1 \text {erfi}\left (\frac {x}{\sqrt {2}}\right )+2 c_2\right )\right \}\right \}\]

Maple : cpu = 0.013 (sec), leaf count = 25

\[ \left \{ y \left ( x \right ) ={({\it Erf} \left ( {\frac {i}{2}}\sqrt {2}x \right ) {\it \_C1}+{\it \_C2}) \left ( {{\rm e}^{{\frac {{x}^{2}}{2}}}} \right ) ^{-1}} \right \} \]