2.526   ODE No. 526

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

$$-(x^2+xy(x)+y(x{)}^2)y^{\prime }(x{)}^2+(x^{3}y(x)+x^{2}y(x{)}^2+xy(x{)}^3)y^{\prime }(x)-x^{3}y(x{)}^3+y^{\prime }(x{)}^3=0$$ ✓ Mathematica : cpu = 0.0775332 (sec), leaf count = 45

$$\{\{y(x)\to \frac{1}{-x-c_1}\},\{y(x)\to c_1{e}^{\frac{x^2}{2}}\},\{y(x)\to \frac{x^3}{3}+c_1\}\}$$ ✓ Maple : cpu = 0.09 (sec), leaf count = 32

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