2.615   ODE No. 615

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

$$y^{\prime }(x)=\frac{y(x)}{x(y(x)F(xy(x))-1)}$$ ✓ Mathematica : cpu = 20.792 (sec), leaf count = 74

$$\text{Solve}[c_1={\int }_1^{y(x)}(-{\int }_1^x\frac{F^{\prime }(K[1]K[2])}{F(K[1]K[2]{)}^2}dK[1]-\frac{1}{K[2]F(xK[2])}+1)dK[2]+{\int }_1^x-\frac{1}{K[1]F(y(x)K[1])}dK[1],y(x)]$$

✓ Maple : cpu = 0.135 (sec), leaf count = 26

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