2.891   ODE No. 891

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

$$y^{\prime }(x)=\frac{y(x{)}^2(x^{4}y(x)+2x^{2}y(x)+2x^2-2y(x))}{x^3(x^{2}y(x)+x^2-y(x))}$$ ✓ Mathematica : cpu = 0.166652 (sec), leaf count = 135

$$\{\{y(x)\to \frac{x^5}{-x^3(x^2-1)+\frac{\sqrt{{(x^2-1)}^{2}x+x^5(-2(-\frac{1}{x^2}+\frac{1}{2x^4}+\log (x))+c_1)}}{\sqrt{\frac{1}{x^5}}}}\},\{y(x)\to -\frac{x^5}{(x^2-1)x^3+\frac{\sqrt{{(x^2-1)}^{2}x+x^5(-2(-\frac{1}{x^2}+\frac{1}{2x^4}+\log (x))+c_1)}}{\sqrt{\frac{1}{x^5}}}}\}\}$$ ✓ Maple : cpu = 0.165 (sec), leaf count = 56

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