2.881   ODE No. 881

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

$$y^{\prime }(x)=\frac{x^6+9x^{4}y(x)-6x^3+27x^{2}y(x{)}^2-18xy(x)+27y(x{)}^3-18x}{9x^2+27y(x)+27}$$ ✓ Mathematica : cpu = 0.0205884 (sec), leaf count = 57

$$\{\{y(x)\to \frac{27}{\sqrt{c_1-1458x}-27}-\frac{x^2}{3}\},\{y(x)\to -\frac{27}{\sqrt{c_1-1458x}+27}-\frac{x^2}{3}\}\}$$

✓ Maple : cpu = 0.055 (sec), leaf count = 77

$$\{y\left(x\right)=\frac{1}{-6x+6\mathit{\_}\mathit{C}\mathit{1}}(-2\mathit{\_}\mathit{C}\mathit{1}{x}^2+2x^3-3\sqrt{2\mathit{\_}\mathit{C}\mathit{1}-2x+1}+3),y\left(x\right)=\frac{1}{-6x+6\mathit{\_}\mathit{C}\mathit{1}}(-2\mathit{\_}\mathit{C}\mathit{1}{x}^2+2x^3+3\sqrt{2\mathit{\_}\mathit{C}\mathit{1}-2x+1}+3)\}$$