2.1631   ODE No. 1631

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

$$-(f(x)+3y(x))y^{\prime }(x)+f(x)y(x{)}^2+y^{″}(x)+y(x{)}^3=0$$ ✗ Mathematica : cpu = 0.0313572 (sec), leaf count = 0 , could not solve

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

✓ Maple : cpu = 0.049 (sec), leaf count = 38

$$\{y\left(x\right)=\frac{-\int \mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^{\int f\left(x\right)\mathrm{d}x}\mathrm{d}x-\mathit{\_}\mathit{C}\mathit{2}}{\int \int \mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^{\int f\left(x\right)\mathrm{d}x}\mathrm{d}x\mathrm{d}x+\mathit{\_}\mathit{C}\mathit{2}x+1}\}$$