2.877   ODE No. 877

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

$$y^{\prime }(x)=\frac{x^6-3x^{4}y(x)+2x^3+3x^{2}y(x{)}^2-2xy(x)-y(x{)}^3-2x}{x^2-y(x)-1}$$ ✓ Mathematica : cpu = 0.0176718 (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 = 0.049 (sec), leaf count = 71

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