3.330   ODE No. 330

$$\boxed{{\displaystyle (f(y\left(x\right)+x)+1)\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)+f(y\left(x\right)+x)=0}}$$

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

Mathematica: cpu = 32.940183 (sec), leaf count = 49 $$\text{Solve}[{\int }_1^{y(x)}(-{\int }_1^x{f}^{\prime }(K[1]+K[2])dK[1]+f(K[2]+x)+1)dK[2]+{\int }_1^{x}f(K[1]+y(x))dK[1]=c_1,y(x)]$$

Maple: cpu = 0.031 (sec), leaf count = 22 $$\{y\left(x\right)=-x+\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-x+{\int }^{\mathit{\_}\mathit{Z}}1+f\left(\mathit{\_}\mathit{a}\right)d\mathit{\_}\mathit{a}+\mathit{\_}\mathit{C}\mathit{1})\}$$