2.11   ODE No. 11

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

$$f(x)y(x)-g(x)+y^{\prime }(x)=0$$ ✓ Mathematica : cpu = 0.471675 (sec), leaf count = 62

$$\left\{\{y(x)\to c_1{e}^{{\int }_1^x-f(K[1])dK[1]}+e^{{\int }_1^x-f(K[1])dK[1]}{\int }_1^{x}g(K[2])e^{-{\int }_1^{K[2]}-f(K[1])dK[1]}dK[2]\}\right\}$$

✓ Maple : cpu = 0.019 (sec), leaf count = 24

$$\{y\left(x\right)=(\int g\left(x\right){\mathrm{e}}^{\int f\left(x\right)\mathrm{d}x}\mathrm{d}x+\mathit{\_}\mathit{C}\mathit{1}){\mathrm{e}}^{\int -f\left(x\right)\mathrm{d}x}\}$$