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 = 0.0312561 (sec), leaf count = 45

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

Maple : cpu = 0.042 (sec), leaf count = 33

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