2.262   ODE No. 262

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

$$(2x^{2}y(x)-x^3)y^{\prime }(x)+2x^3-4xy(x{)}^2+y(x{)}^3=0$$ ✓ Mathematica : cpu = 0.156353 (sec), leaf count = 101

$$\{\{y(x)\to \frac{2x^3-\sqrt{e^{4c_1}{x}^2-3e^{2c_1}{x}^4}}{x^2+e^{2c_1}}\},\{y(x)\to \frac{2x^3+\sqrt{e^{4c_1}{x}^2-3e^{2c_1}{x}^4}}{x^2+e^{2c_1}}\}\}$$ ✓ Maple : cpu = 0.232 (sec), leaf count = 65

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