2.4   ODE No. 4

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

\[ -e^{-x^2} x+y'(x)+2 x y(x)=0 \] Mathematica : cpu = 0.0096568 (sec), leaf count = 30

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

Maple : cpu = 0.007 (sec), leaf count = 18

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