3.610   ODE No. 610

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=\frac{1}{x}(y\left(x\right)+F\left(\frac{y\left(x\right)}{x}\right)x^2)=0}}$$

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

Mathematica: cpu = 0.062508 (sec), leaf count = 24 $$\text{Solve}[{\int }_1^{\frac{y(x)}{x}}\frac{1}{F(K[1])}dK[1]=c_1+x,y(x)]$$

Maple: cpu = 0.016 (sec), leaf count = 20 $$\{y\left(x\right)=\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(x-{\int }^{\mathit{\_}\mathit{Z}}{\left(F\left(\mathit{\_}\mathit{a}\right)\right)}^{-1}d\mathit{\_}\mathit{a}+\mathit{\_}\mathit{C}\mathit{1})x\}$$