2.794   ODE No. 794

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

$$y^{\prime }(x)=\frac{y(x)}{x(x^{3}y(x{)}^4+x^{2}y(x{)}^3+y(x)-1)}$$ ✓ Mathematica : cpu = 0.114555 (sec), leaf count = 66

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

✓ Maple : cpu = 0.442 (sec), leaf count = 32

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