3.423   ODE No. 423

$$\boxed{{\displaystyle x{\left(\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)\right)}^2-2y\left(x\right)\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)+2y\left(x\right)+x=0}}$$

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

Mathematica: cpu = 0.078510 (sec), leaf count = 59 $$\{\{y(x)\to \frac{1}{2}(-2e^{-c_1}{x}^2-e^{c_1}+2x)\},\{y(x)\to \frac{1}{2}(-e^{c_1}{x}^2-2e^{-c_1}+2x)\}\}$$

Maple: cpu = 0.515 (sec), leaf count = 52 $$\{y\left(x\right)=(1-\sqrt{2})x,y\left(x\right)=(1+\sqrt{2})x,y\left(x\right)=-x(\frac{{(x+\mathit{\_}\mathit{C}\mathit{1})}^2}{{\mathit{\_}\mathit{C}\mathit{1}}^2}+1){(-2\frac{x+\mathit{\_}\mathit{C}\mathit{1}}{\mathit{\_}\mathit{C}\mathit{1}}+2)}^{-1}\}$$