2.1040   ODE No. 1040

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

\[ x y'(x)+y''(x)-y(x)=0 \] Mathematica : cpu = 0.0420729 (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 = 0.065 (sec), leaf count = 33

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