2.814   ODE No. 814

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

$$y^{\prime }(x)=\frac{y(x)(x^{7}y(x{)}^2-3x^{3}y(x)-3)}{x(x^{3}y(x)+1)}$$ ✓ Mathematica : cpu = 0.13934 (sec), leaf count = 72

$$\{\{y(x)\to \frac{x}{-x^4+\frac{\sqrt{x+x(-2x+c_1)}}{\sqrt{\frac{1}{x^7}}}}\},\{y(x)\to -\frac{x}{x^4+\frac{\sqrt{x+x(-2x+c_1)}}{\sqrt{\frac{1}{x^7}}}}\}\}$$ ✓ Maple : cpu = 0.115 (sec), leaf count = 38

$$\{y\left(x\right)=\frac{1}{x^3}{(\sqrt{\mathit{\_}\mathit{C}\mathit{1}-2x}-1)}^{-1},y\left(x\right)=-\frac{1}{x^3}{(\sqrt{\mathit{\_}\mathit{C}\mathit{1}-2x}+1)}^{-1}\}$$