ODE No. 1039

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

\[ y''(x)+x y'(x)+y(x)=0 \] Mathematica : cpu = 0.0157572 (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 = 0.023 (sec), leaf count = 25

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