2.975   ODE No. 975

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

$$y^{\prime }(x)=\frac{x^6}{27}+\frac{1}{3}{x}^{4}y(x)+x^{2}y(x{)}^2+y(x{)}^3-\frac{2x}{3}$$ ✓ Mathematica : cpu = 0.0124099 (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 = 0.041 (sec), leaf count = 59

$$\{y\left(x\right)=-\frac{1}{3}(x^2\sqrt{-54\mathit{\_}\mathit{C}\mathit{1}-2x}-3)\frac{1}{\sqrt{-54\mathit{\_}\mathit{C}\mathit{1}-2x}},y\left(x\right)=-\frac{1}{3}(x^2\sqrt{-54\mathit{\_}\mathit{C}\mathit{1}-2x}+3)\frac{1}{\sqrt{-54\mathit{\_}\mathit{C}\mathit{1}-2x}}\}$$