3.877   ODE No. 877

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

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

Mathematica: cpu = 0.016502 (sec), leaf count = 49 $$\{\{y(x)\to \frac{1}{1-\frac{1}{\sqrt{c_1-2x}}}+x^2-1\},\{y(x)\to \frac{1}{\frac{1}{\sqrt{c_1-2x}}+1}+x^2-1\}\}$$

Maple: cpu = 0.031 (sec), leaf count = 71 $$\{y\left(x\right)=-\frac{1}{-2x+2\mathit{\_}\mathit{C}\mathit{1}}(-2\mathit{\_}\mathit{C}\mathit{1}{x}^2+2x^3+\sqrt{2\mathit{\_}\mathit{C}\mathit{1}-2x+1}-1),y\left(x\right)=\frac{1}{-2x+2\mathit{\_}\mathit{C}\mathit{1}}(2\mathit{\_}\mathit{C}\mathit{1}{x}^2-2x^3+\sqrt{2\mathit{\_}\mathit{C}\mathit{1}-2x+1}+1)\}$$