2.1628   ODE No. 1628

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

$$f(x)y(x)-g(x)+y^{″}(x)+3y(x)y^{\prime }(x)+y(x{)}^3=0$$ ✗ Mathematica : cpu = 5.64861 (sec), leaf count = 0 , could not solve

DSolve[-g[x] + f[x]*y[x] + y[x]^3 + 3*y[x]*Derivative[1][y][x] + Derivative[2][y][x] == 0, y[x], x]

✗ Maple : cpu = 0. (sec), leaf count = 0 , result contains DESol

$$\{y\left(x\right)=\frac{\frac{\mathrm{d}}{\mathrm{d}x}\mathit{D}\mathit{E}\mathit{S}\mathit{o}\mathit{l}(\{-g\left(x\right)\mathit{\_}\mathit{Y}\left(x\right)+f\left(x\right)\frac{\mathrm{d}}{\mathrm{d}x}\mathit{\_}\mathit{Y}\left(x\right)+\frac{{\mathrm{d}}^3}{\mathrm{d}{x}^3}\mathit{\_}\mathit{Y}\left(x\right)\},\left\{\mathit{\_}\mathit{Y}\left(x\right)\right\})}{\mathit{D}\mathit{E}\mathit{S}\mathit{o}\mathit{l}(\{-g\left(x\right)\mathit{\_}\mathit{Y}\left(x\right)+f\left(x\right)\frac{\mathrm{d}}{\mathrm{d}x}\mathit{\_}\mathit{Y}\left(x\right)+\frac{{\mathrm{d}}^3}{\mathrm{d}{x}^3}\mathit{\_}\mathit{Y}\left(x\right)\},\left\{\mathit{\_}\mathit{Y}\left(x\right)\right\})}\}$$