2.155   ODE No. 155

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

$$(x^2-1)y^{\prime }(x)+y(x{)}^2-2xy(x)+1=0$$ ✓ Mathematica : cpu = 0.123744 (sec), leaf count = 46

$$\left\{\{y(x)\to -\frac{x(1-x^2)}{x^2-1}+\frac{1}{\frac{1}{2}\log (1-x)-\frac{1}{2}\log (x+1)+c_1}\}\right\}$$ ✓ Maple : cpu = 0.07 (sec), leaf count = 14

$$\{y\left(x\right)=x+{(\mathit{\_}\mathit{C}\mathit{1}-\mathit{A}\mathit{r}\mathit{t}\mathit{a}\mathit{n}\mathit{h}\left(x\right))}^{-1}\}$$