2.1040   ODE No. 1040

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

\[ y''(x)+x y'(x)-y(x)=0 \] Mathematica : cpu = 0.0301182 (sec), leaf count = 53

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

Maple : cpu = 0.04 (sec), leaf count = 35

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