2.330   ODE No. 330

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

$$(f(y(x)+x)+1)y^{\prime }(x)+f(y(x)+x)=0$$ ✓ Mathematica : cpu = 0.127981 (sec), leaf count = 52

$$\text{Solve}[{\int }_1^{y(x)}(f(x+K[2])-{\int }_1^x{f}^{\prime }(K[1]+K[2])dK[1]+1)dK[2]+{\int }_1^{x}f(K[1]+y(x))dK[1]=c_1,y(x)]$$ ✓ Maple : cpu = 0.036 (sec), leaf count = 22

$$\{y\left(x\right)=-x+\mathrm{RootOf}(c_1-x+{\int }_{}^{\mathit{\text{\_Z}}}(f\left(\mathit{\text{\_a}}\right)+1)d\mathit{\text{\_a}})\}$$