2.611   ODE No. 611

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

$$y^{\prime }(x)=\frac{F(x(y(x)+x))-y(x)-2x}{x}$$ ✓ Mathematica : cpu = 38.0269 (sec), leaf count = 188

$$\text{Solve}[{\int }_1^{y(x)}-\frac{F(x(K[2]+x)){\int }_1^x(\frac{2K[1{]}^2{F}^{\prime }(K[1](K[1]+K[2]))}{F(K[1](K[1]+K[2]){)}^2}+\frac{K[1](K[2]-F(K[1](K[1]+K[2])))F^{\prime }(K[1](K[1]+K[2]))}{F(K[1](K[1]+K[2]){)}^2}-\frac{1-K[1]F^{\prime }(K[1](K[1]+K[2]))}{F(K[1](K[1]+K[2]))})dK[1]+x}{F(x(K[2]+x))}dK[2]+{\int }_1^x(-\frac{2K[1]}{F(K[1](K[1]+y(x)))}-\frac{y(x)-F(K[1](K[1]+y(x)))}{F(K[1](K[1]+y(x)))})dK[1]=c_1,y(x)]$$

✓ Maple : cpu = 0.095 (sec), leaf count = 28

$$\{y\left(x\right)=\frac{-x^2+\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-x+{\int }^{\mathit{\_}\mathit{Z}}{\left(F\left(\mathit{\_}\mathit{a}\right)\right)}^{-1}d\mathit{\_}\mathit{a}+\mathit{\_}\mathit{C}\mathit{1})}{x}\}$$