2.590   ODE No. 590

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

$$y^{\prime }(x)=\frac{x}{F(x^2+y(x{)}^2)-y(x)}$$ ✓ Mathematica : cpu = 0.228246 (sec), leaf count = 94

$$\text{Solve}[{\int }_1^{y(x)}(-\frac{K[2]}{F(x^2+K[2{]}^2)}-{\int }_1^x\frac{2K[1]K[2]F^{\prime }(K[1{]}^2+K[2{]}^2)}{F{(K[1{]}^2+K[2{]}^2)}^2}dK[1]+1)dK[2]+{\int }_1^x-\frac{K[1]}{F(K[1{]}^2+y(x{)}^2)}dK[1]=c_1,y(x)]$$ ✓ Maple : cpu = 0.207 (sec), leaf count = 28

$$\{-y\left(x\right)+\frac{{\int }^{{\left(y\left(x\right)\right)}^2+x^2}{\left(F\left(\mathit{\_}\mathit{a}\right)\right)}^{-1}d\mathit{\_}\mathit{a}}{2}-\mathit{\_}\mathit{C}\mathit{1}=0\}$$