3.4   ODE No. 4

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)+2xy\left(x\right)-x{\mathrm{e}}^{-x^2}=0}}$$

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

Mathematica: cpu = 0.009001 (sec), leaf count = 30 $$\left\{\{y(x)\to c_1{e}^{-x^2}+\frac{1}{2}{e}^{-x^2}{x}^2\}\right\}$$

Maple: cpu = 0.015 (sec), leaf count = 18 $$\{y\left(x\right)=(\frac{x^2}{2}+\mathit{\_}\mathit{C}\mathit{1}){\mathrm{e}}^{-x^2}\}$$

Sage: cpu = 0.008 (sec), leaf count = 0 $$[\frac{1}{2}(x^2+2c)e^{(-x^2)},\mathtt{\text{linear}}]$$