8.180   ODE No. 1770

$$\boxed{{\displaystyle x^2(-1+y\left(x\right))\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)-2x^2{\left(\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)\right)}^2-2x(-1+y\left(x\right))\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)-2y\left(x\right){(-1+y\left(x\right))}^2=0}}$$

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

Mathematica: cpu = 0.792101 (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 = 1.560 (sec), leaf count = 26 $$\{y\left(x\right)=\frac{x(\mathit{\_}\mathit{C}\mathit{1}x-\mathit{\_}\mathit{C}\mathit{2})}{\mathit{\_}\mathit{C}\mathit{1}{x}^2-\mathit{\_}\mathit{C}\mathit{2}x-1}\}$$