2.39   ODE No. 39

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

$$-\text{a0}-\text{a1}y(x)-\text{a2}y(x{)}^2-\text{a3}y(x{)}^3+y^{\prime }(x)=0$$ ✓ Mathematica : cpu = 0.0644793 (sec), leaf count = 54

$$\text{Solve}[c_1+x=\text{RootSum}[{\mathrm{\#}\text{1}}^3\text{a3}+{\mathrm{\#}\text{1}}^2\text{a2}+\mathrm{\#}\text{1}\text{a1}+\text{a0}\mathrm{\&},\frac{\log (y(x)-\mathrm{\#}\text{1})}{3{\mathrm{\#}\text{1}}^2\text{a3}+2\mathrm{\#}\text{1}\text{a2}+\text{a1}}\mathrm{\&}],y(x)]$$

✓ Maple : cpu = 0.016 (sec), leaf count = 30

$$\{x-{\int }^{y\left(x\right)}{({\mathit{\_}\mathit{a}}^3\mathit{a}\mathit{3}+{\mathit{\_}\mathit{a}}^2\mathit{a}\mathit{2}+\mathit{\_}\mathit{a}\mathit{a}\mathit{1}+\mathit{a}\mathit{0})}^{-1}d\mathit{\_}\mathit{a}+\mathit{\_}\mathit{C}\mathit{1}=0\}$$