3.975   ODE No. 975

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)={\left(y\left(x\right)\right)}^3+x^2{\left(y\left(x\right)\right)}^2+1/3y\left(x\right)x^4+1/27x^6-2/3x=0}}$$

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

Mathematica: cpu = 0.011501 (sec), leaf count = 47 $$\{\{y(x)\to -\frac{1}{\sqrt{c_1-2x}}-\frac{x^2}{3}\},\{y(x)\to \frac{1}{\sqrt{c_1-2x}}-\frac{x^2}{3}\}\}$$

Maple: cpu = 0.032 (sec), leaf count = 59 $$\{y\left(x\right)=-\frac{1}{3}(x^2\sqrt{-54\mathit{\_}\mathit{C}\mathit{1}-2x}-3)\frac{1}{\sqrt{-54\mathit{\_}\mathit{C}\mathit{1}-2x}},y\left(x\right)=-\frac{1}{3}(x^2\sqrt{-54\mathit{\_}\mathit{C}\mathit{1}-2x}+3)\frac{1}{\sqrt{-54\mathit{\_}\mathit{C}\mathit{1}-2x}}\}$$