3.451   ODE No. 451

$$\boxed{{\displaystyle (x^2+a){\left(\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)\right)}^2-2xy\left(x\right)\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)+{\left(y\left(x\right)\right)}^2+b=0}}$$

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

Mathematica: cpu = 0 (sec), leaf count = 0 $$\text{Hanged}$$

Maple: cpu = 0.561 (sec), leaf count = 78 $$\{y\left(x\right)=\frac{1}{a}\sqrt{-ab(x^2+a)},y\left(x\right)=-\frac{1}{a}\sqrt{-ab(x^2+a)},y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}x-\sqrt{-a{\mathit{\_}\mathit{C}\mathit{1}}^2-b},y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}x+\sqrt{-a{\mathit{\_}\mathit{C}\mathit{1}}^2-b}\}$$