3.881   ODE No. 881

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=\frac{-18xy\left(x\right)-6x^3-18x+27{\left(y\left(x\right)\right)}^3+27x^2{\left(y\left(x\right)\right)}^2+9y\left(x\right)x^4+x^6}{27y\left(x\right)+9x^2+27}=0}}$$

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

Mathematica: cpu = 0.017502 (sec), leaf count = 75 $$\{\{y(x)\to \frac{1}{27(\frac{1}{27}-\frac{1}{\sqrt{c_1-1458x}})}+\frac{1}{3}(-x^2-3)\},\{y(x)\to \frac{1}{27(\frac{1}{\sqrt{c_1-1458x}}+\frac{1}{27})}+\frac{1}{3}(-x^2-3)\}\}$$

Maple: cpu = 0.047 (sec), leaf count = 75 $$\{y\left(x\right)=\frac{1}{-6x+6\mathit{\_}\mathit{C}\mathit{1}}(-2\mathit{\_}\mathit{C}\mathit{1}{x}^2+2x^3+3\sqrt{2\mathit{\_}\mathit{C}\mathit{1}-2x+1}+3),y\left(x\right)=-\frac{1}{-6x+6\mathit{\_}\mathit{C}\mathit{1}}(2\mathit{\_}\mathit{C}\mathit{1}{x}^2-2x^3+3\sqrt{2\mathit{\_}\mathit{C}\mathit{1}-2x+1}-3)\}$$