2.876   ODE No. 876

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

$$y^{\prime }(x)=-\frac{y(x{)}^2(x^{2}y(x)-2xy(x)+y(x)-2x)}{2x(xy(x)-2y(x)-2)}$$ ✓ Mathematica : cpu = 0.0211941 (sec), leaf count = 89

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

✓ Maple : cpu = 0.053 (sec), leaf count = 41

$$\{y\left(x\right)=-4{(\sqrt{\mathit{\_}\mathit{C}\mathit{1}-8\ln \left(x\right)}-2x+4)}^{-1},y\left(x\right)=4{(\sqrt{\mathit{\_}\mathit{C}\mathit{1}-8\ln \left(x\right)}+2x-4)}^{-1}\}$$