2.931   ODE No. 931

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

$$y^{\prime }(x)=\frac{x^6+3x^{5}y(x)+3x^{4}y(x{)}^2+x^{3}y(x{)}^3-2x^3-3x^{2}y(x)-xy(x{)}^2-y(x)-2x}{x(x^2+xy(x)+1)}$$ ✓ Mathematica : cpu = 0.0253927 (sec), leaf count = 80

$$\{\{y(x)\to \frac{1}{x^2(\frac{1}{x}-\frac{1}{x\sqrt{c_1-2x}})}-\frac{x^2+1}{x}\},\{y(x)\to \frac{1}{x^2(\frac{1}{x\sqrt{c_1-2x}}+\frac{1}{x})}-\frac{x^2+1}{x}\}\}$$

✓ Maple : cpu = 0.045 (sec), leaf count = 73

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