3.598   ODE No. 598

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

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

Mathematica: cpu = 0.077010 (sec), leaf count = 36 $$\text{Solve}[{\int }_1^{\frac{y(x)}{x}}\frac{1}{F(K[1])+K[1]}dK[1]=c_1+\log (1-x)-\log (x),y(x)]$$

Maple: cpu = 0.032 (sec), leaf count = 29 $$\{y\left(x\right)=\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-{\int }^{\mathit{\_}\mathit{Z}}{(F\left(\mathit{\_}\mathit{a}\right)+\mathit{\_}\mathit{a})}^{-1}d\mathit{\_}\mathit{a}-\ln \left(x\right)+\ln (x-1)+\mathit{\_}\mathit{C}\mathit{1})x\}$$