2.1770   ODE No. 1770

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

$$x^2(y(x)-1)y^{″}(x)-2x^2{y}^{\prime }(x{)}^2-2x(y(x)-1)y^{\prime }(x)-2(y(x)-1{)}^{2}y(x)=0$$ ✓ Mathematica : cpu = 0.7543 (sec), leaf count = 28

$$\left\{\{y(x)\to \frac{1}{x^2(-\frac{c_1}{x}+c_2-\frac{1}{x^2})}+1\}\right\}$$

✓ Maple : cpu = 0.365 (sec), leaf count = 26

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