3.615   ODE No. 615

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=\frac{y\left(x\right)}{x(-1+F\left(xy\left(x\right)\right)y\left(x\right))}=0}}$$

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

Mathematica: cpu = 17.029162 (sec), leaf count = 74 $$\text{Solve}[{\int }_1^{y(x)}(-{\int }_1^x\frac{F^{\prime }(K[1]K[2])}{F(K[1]K[2]{)}^2}dK[1]-\frac{1}{K[2]F(xK[2])}+1)dK[2]+{\int }_1^x-\frac{1}{K[1]F(y(x)K[1])}dK[1]=c_1,y(x)]$$

Maple: cpu = 0.109 (sec), leaf count = 26 $$\{-y\left(x\right)+{\int }^{xy\left(x\right)}\frac{1}{F\left(\mathit{\_}\mathit{a}\right)\mathit{\_}\mathit{a}}d\mathit{\_}\mathit{a}-\mathit{\_}\mathit{C}\mathit{1}=0\}$$