3.10   ODE No. 10

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)+\left(\frac{\mathrm{d}}{\mathrm{d}x}f\left(x\right)\right)y\left(x\right)-f\left(x\right)\frac{\mathrm{d}}{\mathrm{d}x}f\left(x\right)=0}}$$

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

Mathematica: cpu = 0.007501 (sec), leaf count = 18 $$\left\{\{y(x)\to c_1{e}^{-f(x)}+f(x)-1\}\right\}$$

Maple: cpu = 0.015 (sec), leaf count = 15 $$\{y\left(x\right)=f\left(x\right)-1+{\mathrm{e}}^{-f\left(x\right)}\mathit{\_}\mathit{C}\mathit{1}\}$$

Sage: cpu = 0.06 (sec), leaf count = 0 $$[(c+\int e^{f\left(x\right)}f\left(x\right)D[0]\left(f\right)\left(x\right)dx)e^{(-f\left(x\right))},\mathtt{\text{linear}}]$$