2.881   ODE No. 881

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

$$y^{\prime }(x)=\frac{9x^{4}y(x)+27x^{2}y(x{)}^2+x^6-6x^3-18xy(x)+27y(x{)}^3-18x}{9x^2+27y(x)+27}$$ ✓ Mathematica : cpu = 0.161262 (sec), leaf count = 75

$$\{\{y(x)\to \frac{1}{3}(-x^2-3)+\frac{1}{27(\frac{1}{27}-\frac{1}{\sqrt{-1458x+c_1}})}\},\{y(x)\to \frac{1}{3}(-x^2-3)+\frac{1}{27(\frac{1}{27}+\frac{1}{\sqrt{-1458x+c_1}})}\}\}$$ ✓ Maple : cpu = 0.118 (sec), leaf count = 77

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