2.262   ODE No. 262

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

$$2x^3+(2x^{2}y(x)-x^3)y^{\prime }(x)-4xy(x{)}^2+y(x{)}^3=0$$ ✓ Mathematica : cpu = 0.0674344 (sec), leaf count = 101

$$\{\{y(x)\to \frac{2x^3-\sqrt{e^{4c_1}{x}^2-3e^{2c_1}{x}^4}}{e^{2c_1}+x^2}\},\{y(x)\to \frac{\sqrt{e^{4c_1}{x}^2-3e^{2c_1}{x}^4}+2x^3}{e^{2c_1}+x^2}\}\}$$

✓ Maple : cpu = 0.292 (sec), leaf count = 74

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