3.888   ODE No. 888

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=\frac{6x^{2}y\left(x\right)-2x+1-5x^3{\left(y\left(x\right)\right)}^2-2xy\left(x\right)+{\left(y\left(x\right)\right)}^3{x}^4}{x^2(x^{2}y\left(x\right)-x+1)}=0}}$$

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

Mathematica: cpu = 0.020003 (sec), leaf count = 78 $$\{\{y(x)\to \frac{1}{x^4(\frac{1}{x^2}-\frac{1}{x^2\sqrt{c_1+\frac{2}{x}}})}+\frac{x-1}{x^2}\},\{y(x)\to \frac{1}{x^4(\frac{1}{x^2\sqrt{c_1+\frac{2}{x}}}+\frac{1}{x^2})}+\frac{x-1}{x^2}\}\}$$

Maple: cpu = 0.031 (sec), leaf count = 79 $$\{y\left(x\right)=\frac{1}{x^2}(\sqrt{\frac{x\mathit{\_}\mathit{C}\mathit{1}+2}{x}}x-x+1){(\sqrt{\frac{x\mathit{\_}\mathit{C}\mathit{1}+2}{x}}-1)}^{-1},y\left(x\right)=\frac{1}{x^2}(\sqrt{\frac{x\mathit{\_}\mathit{C}\mathit{1}+2}{x}}x+x-1){(\sqrt{\frac{x\mathit{\_}\mathit{C}\mathit{1}+2}{x}}+1)}^{-1}\}$$