2.451   ODE No. 451

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

$$(a+x^2)y^{\prime }(x{)}^2+b-2xy(x)y^{\prime }(x)+y(x{)}^2=0$$ ✗ Mathematica : cpu = 301.004 (sec), leaf count = 0 , timed out

$Aborted

✓ Maple : cpu = 0.061 (sec), leaf count = 78

$$\{y\left(x\right)=\frac{1}{a}\sqrt{-ab(x^2+a)},y\left(x\right)=-\frac{1}{a}\sqrt{-ab(x^2+a)},y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}x-\sqrt{-a{\mathit{\_}\mathit{C}\mathit{1}}^2-b},y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}x+\sqrt{-a{\mathit{\_}\mathit{C}\mathit{1}}^2-b}\}$$