3.604   ODE No. 604

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=2{\left(y\left(x\right)\right)}^3{(1+2F\left(\frac{1+4x{\left(y\left(x\right)\right)}^2}{{\left(y\left(x\right)\right)}^2}\right)y\left(x\right))}^{-1}=0}}$$

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

Mathematica: cpu = 26.277337 (sec), leaf count = 140 $$\text{Solve}[{\int }_1^{y(x)}(-{\int }_1^x\frac{(\frac{8K[1]}{K[2]}-\frac{2(4K[1]K[2{]}^2+1)}{K[2{]}^3})F^{\prime }\left(\frac{4K[1]K[2{]}^2+1}{K[2{]}^2}\right)}{F{\left(\frac{4K[1]K[2{]}^2+1}{K[2{]}^2}\right)}^2}dK[1]+\frac{1}{2K[2{]}^{3}F\left(\frac{4xK[2{]}^2+1}{K[2{]}^2}\right)}+\frac{1}{K[2{]}^2})dK[2]+{\int }_1^x-\frac{1}{F\left(\frac{4y(x{)}^{2}K[1]+1}{y(x{)}^2}\right)}dK[1]=c_1,y(x)]$$

Maple: cpu = 0.141 (sec), leaf count = 30 $$\{-\mathit{\_}\mathit{C}\mathit{1}-{\left(y\left(x\right)\right)}^{-1}-\frac{{\int }^{4x+{\left(y\left(x\right)\right)}^{-2}}{\left(F\left(\mathit{\_}\mathit{a}\right)\right)}^{-1}d\mathit{\_}\mathit{a}}{4}=0\}$$