ODE No. 86

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

$$y^{\prime }(x)-\frac{y(x)-xf(ay(x{)}^2+x^2)}{ay(x)f(ay(x{)}^2+x^2)+x}=0$$ ✗ Mathematica : cpu = 3599.95 (sec), leaf count = 0 , timed out

$Aborted

✓ Maple : cpu = 0.634 (sec), leaf count = 52

$$\{1\arctan \left(x\sqrt{a}\frac{1}{\sqrt{a^2{\left(y\left(x\right)\right)}^2}}\right)\frac{1}{\sqrt{a}}-\frac{1}{2}{\int }^{{\left(y\left(x\right)\right)}^2+\frac{x^2}{a}}\frac{f\left(\mathit{\_}\mathit{a}a\right)}{\mathit{\_}\mathit{a}}d\mathit{\_}\mathit{a}-\mathit{\_}\mathit{C}\mathit{1}=0\}$$