3.891   ODE No. 891

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=\frac{{\left(y\left(x\right)\right)}^2(-2y\left(x\right)+2x^2+2x^{2}y\left(x\right)+y\left(x\right)x^4)}{x^3(x^2-y\left(x\right)+x^{2}y\left(x\right))}=0}}$$

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

Mathematica: cpu = 0.020503 (sec), leaf count = 135 $$\{\{y(x)\to \frac{x^5}{\frac{\sqrt{x^5(c_1-2(\frac{1}{2x^4}-\frac{1}{x^2}+\log (x)))+{(x^2-1)}^{2}x}}{\sqrt{\frac{1}{x^5}}}-x^3(x^2-1)}\},\{y(x)\to -\frac{x^5}{\frac{\sqrt{x^5(c_1-2(\frac{1}{2x^4}-\frac{1}{x^2}+\log (x)))+{(x^2-1)}^{2}x}}{\sqrt{\frac{1}{x^5}}}+(x^2-1)x^3}\}\}$$

Maple: cpu = 0.047 (sec), leaf count = 56 $$\{y\left(x\right)=x^2{(\sqrt{\mathit{\_}\mathit{C}\mathit{1}-2\ln \left(x\right)}{x}^2-x^2+1)}^{-1},y\left(x\right)=-x^2{(\sqrt{\mathit{\_}\mathit{C}\mathit{1}-2\ln \left(x\right)}{x}^2+x^2-1)}^{-1}\}$$