2.365   ODE No. 365

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

$$(\text{Global}\stackrel{`}{}\text{y}(\text{Global}\stackrel{`}{}\text{x})\text{Global}\stackrel{`}{}\text{f}({\text{Global}\stackrel{`}{}\text{x}}^2+\text{Global}\stackrel{`}{}\text{y}(\text{Global}\stackrel{`}{}\text{x}{)}^2)-\text{Global}\stackrel{`}{}\text{x}){\text{Global}\stackrel{`}{}\text{y}}^{\prime }(\text{Global}\stackrel{`}{}\text{x})+\text{Global}\stackrel{`}{}\text{x}\text{Global}\stackrel{`}{}\text{f}({\text{Global}\stackrel{`}{}\text{x}}^2+\text{Global}\stackrel{`}{}\text{y}(\text{Global}\stackrel{`}{}\text{x}{)}^2)+\text{Global}\stackrel{`}{}\text{y}(\text{Global}\stackrel{`}{}\text{x})=0$$ ✗ Mathematica : cpu = 3599.93 (sec), leaf count = 0 , timed out

$Aborted

✓ Maple : cpu = 0.314 (sec), leaf count = 42

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