2.251   ODE No. 251

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

$$(x^{2}y(x)-1)y^{\prime }(x)+xy(x{)}^2-1=0$$ ✓ Mathematica : cpu = 0.0125744 (sec), leaf count = 60

$$\{\{y(x)\to \frac{1}{x^2}-\frac{\sqrt{c_1{x}^2+2x^3+1}}{x^2}\},\{y(x)\to \frac{\sqrt{c_1{x}^2+2x^3+1}}{x^2}+\frac{1}{x^2}\}\}$$

✓ Maple : cpu = 0.023 (sec), leaf count = 50

$$\{y\left(x\right)=\frac{1}{x^2}(1+\sqrt{-2x^2\mathit{\_}\mathit{C}\mathit{1}+2x^3+1}),y\left(x\right)=-\frac{1}{x^2}(-1+\sqrt{-2x^2\mathit{\_}\mathit{C}\mathit{1}+2x^3+1})\}$$