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 = 0.190116 (sec), leaf count = 135

$$\{\{y(x)\to -\frac{4x}{-2(x-2)x+\frac{2\sqrt{-x(x-2{)}^2-4x(-2(\frac{x^2}{8}-\frac{x}{2}+\frac{\log (x)}{4})+c_1)}}{\sqrt{-\frac{1}{x}}}}\},\{y(x)\to \frac{4x}{2(x-2)x+\frac{2\sqrt{-x(x-2{)}^2-4x(-2(\frac{x^2}{8}-\frac{x}{2}+\frac{\log (x)}{4})+c_1)}}{\sqrt{-\frac{1}{x}}}}\}\}$$ ✓ Maple : cpu = 0.151 (sec), leaf count = 41

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