3.814   ODE No. 814

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=\frac{y\left(x\right)(-3x^{3}y\left(x\right)-3+{\left(y\left(x\right)\right)}^2{x}^7)}{x(x^{3}y\left(x\right)+1)}=0}}$$

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

Mathematica: cpu = 0.013502 (sec), leaf count = 72 $$\{\{y(x)\to \frac{x}{\frac{\sqrt{x(c_1-2x)+x}}{\sqrt{\frac{1}{x^7}}}-x^4}\},\{y(x)\to -\frac{x}{\frac{\sqrt{x(c_1-2x)+x}}{\sqrt{\frac{1}{x^7}}}+x^4}\}\}$$

Maple: cpu = 0.016 (sec), leaf count = 38 $$\{y\left(x\right)=\frac{1}{x^3}{(\sqrt{\mathit{\_}\mathit{C}\mathit{1}-2x}-1)}^{-1},y\left(x\right)=-\frac{1}{x^3}{(\sqrt{\mathit{\_}\mathit{C}\mathit{1}-2x}+1)}^{-1}\}$$