3.590   ODE No. 590

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

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

Mathematica: cpu = 30.943929 (sec), leaf count = 91 $$\text{Solve}[{\int }_1^{y(x)}(-{\int }_1^x\frac{2K[1]K[2]F^{\prime }(K[1{]}^2+K[2{]}^2)}{F{(K[1{]}^2+K[2{]}^2)}^2}dK[1]-\frac{K[2]}{F(K[2{]}^2+x^2)}+1)dK[2]+{\int }_1^x-\frac{K[1]}{F(K[1{]}^2+y(x{)}^2)}dK[1]=c_1,y(x)]$$

Maple: cpu = 0.125 (sec), leaf count = 28 $$\{-y\left(x\right)+\frac{{\int }^{{\left(y\left(x\right)\right)}^2+x^2}{\left(F\left(\mathit{\_}\mathit{a}\right)\right)}^{-1}d\mathit{\_}\mathit{a}}{2}-\mathit{\_}\mathit{C}\mathit{1}=0\}$$