2.396   ODE No. 396

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

$$(y(x)-x)y(x)y^{\prime }(x)+y^{\prime }(x{)}^2-xy(x{)}^3=0$$ ✓ Mathematica : cpu = 0.00896819 (sec), leaf count = 29

$$\{\{y(x)\to \frac{1}{x-c_1}\},\{y(x)\to c_1{e}^{\frac{x^2}{2}}\}\}$$

✓ Maple : cpu = 0.065 (sec), leaf count = 20

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