2.1043   ODE No. 1043

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

\[ y''(x)-x y'(x)+2 y(x)=0 \] Mathematica : cpu = 0.0450429 (sec), leaf count = 69

\[\left \{\left \{y(x)\to \frac {1}{4} c_2 \left (\sqrt {2 \pi } x^2 \text {erfi}\left (\frac {x}{\sqrt {2}}\right )-\sqrt {2 \pi } \text {erfi}\left (\frac {x}{\sqrt {2}}\right )-2 e^{\frac {x^2}{2}} x\right )+c_1 \left (x^2-1\right )\right \}\right \}\]

Maple : cpu = 0.211 (sec), leaf count = 39

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