3.607   ODE No. 607

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=\frac{1}{x}(2y\left(x\right)+F\left(\frac{y\left(x\right)}{x^2}\right)x^3)=0}}$$

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

Mathematica: cpu = 739.416394 (sec), leaf count = 118 $$\text{Solve}[{\int }_1^{y(x)}-\frac{x^{2}F\left(\frac{K[2]}{x^2}\right)({\int }_1^x(\frac{2}{K[1{]}^{3}F\left(\frac{K[2]}{K[1{]}^2}\right)}-\frac{2K[2]F^{\prime }\left(\frac{K[2]}{K[1{]}^2}\right)}{K[1{]}^{5}F{\left(\frac{K[2]}{K[1{]}^2}\right)}^2})dK[1])+1}{x^{2}F\left(\frac{K[2]}{x^2}\right)}dK[2]+{\int }_1^x(\frac{2y(x)}{K[1{]}^{3}F\left(\frac{y(x)}{K[1{]}^2}\right)}+1)dK[1]=c_1,y(x)]$$

Maple: cpu = 0.078 (sec), leaf count = 22 $$\{y\left(x\right)=\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-x+{\int }^{\mathit{\_}\mathit{Z}}{\left(F\left(\mathit{\_}\mathit{a}\right)\right)}^{-1}d\mathit{\_}\mathit{a}+\mathit{\_}\mathit{C}\mathit{1})x^2\}$$