2.330   ODE No. 330

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

$$(\text{Global}\stackrel{`}{}\text{f}(\text{Global}\stackrel{`}{}\text{y}(\text{Global}\stackrel{`}{}\text{x})+\text{Global}\stackrel{`}{}\text{x})+1){\text{Global}\stackrel{`}{}\text{y}}^{\prime }(\text{Global}\stackrel{`}{}\text{x})+\text{Global}\stackrel{`}{}\text{f}(\text{Global}\stackrel{`}{}\text{y}(\text{Global}\stackrel{`}{}\text{x})+\text{Global}\stackrel{`}{}\text{x})=0$$ ✓ Mathematica : cpu = 31.9005 (sec), leaf count = 49

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

✓ Maple : cpu = 0.028 (sec), leaf count = 22

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