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 = 0.0494561 (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 = 0.066 (sec), leaf count = 34

\[\left \{y \left (x \right ) = -c_{2} {\mathrm e}^{-\frac {x^{2}}{2}}+\left (-\frac {c_{2} \sqrt {\pi }\, \sqrt {2}\, \erf \left (\frac {\sqrt {2}\, x}{2}\right )}{2}+c_{1}\right ) x\right \}\]