2.425   ODE No. 425

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

$$(x+1)y^{\prime }(x{)}^2-(y(x)+x)y^{\prime }(x)+y(x)=0$$ ✓ Mathematica : cpu = 0.265506 (sec), leaf count = 59

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

✓ Maple : cpu = 0.045 (sec), leaf count = 59

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