2.423   ODE No. 423

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

$$x{y}^{\prime }(x{)}^2-2y(x)y^{\prime }(x)+2y(x)+x=0$$ ✓ Mathematica : cpu = 0.0745803 (sec), leaf count = 59

$$\{\{y(x)\to \frac{1}{2}(-2e^{-c_1}{x}^2+2x-e^{c_1})\},\{y(x)\to \frac{1}{2}(-e^{c_1}{x}^2+2x-2e^{-c_1})\}\}$$ ✓ Maple : cpu = 0.06 (sec), leaf count = 44

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