2.281   ODE No. 281

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

$$(-x^2+2xy(x)+y(x{)}^2)y^{\prime }(x)+x^2+2xy(x)-y(x{)}^2=0$$ ✓ Mathematica : cpu = 0.181596 (sec), leaf count = 75

$$\{\{y(x)\to \frac{1}{2}(e^{c_1}-\sqrt{-4x^2+4e^{c_1}x+e^{2c_1}})\},\{y(x)\to \frac{1}{2}(\sqrt{-4x^2+4e^{c_1}x+e^{2c_1}}+e^{c_1})\}\}$$ ✓ Maple : cpu = 0.049 (sec), leaf count = 55

$$\{y\left(x\right)=\frac{1}{2\mathit{\_}\mathit{C}\mathit{1}}(1+\sqrt{-4{\mathit{\_}\mathit{C}\mathit{1}}^2{x}^2+4\mathit{\_}\mathit{C}\mathit{1}x+1}),y\left(x\right)=\frac{1}{2\mathit{\_}\mathit{C}\mathit{1}}(1-\sqrt{-4{\mathit{\_}\mathit{C}\mathit{1}}^2{x}^2+4\mathit{\_}\mathit{C}\mathit{1}x+1})\}$$