2.220   ODE No. 220

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

$$-x^3+2y(x)y^{\prime }(x)-xy(x{)}^2=0$$ ✓ Mathematica : cpu = 0.0139644 (sec), leaf count = 57

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

✓ Maple : cpu = 0.023 (sec), leaf count = 43

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