8.181   ODE No. 1771

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

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

Mathematica: cpu = 0.082010 (sec), leaf count = 21 $$\left\{\{y(x)\to c_{2}x{e}^{\frac{c_1}{x}}-x\}\right\}$$

Maple: cpu = 1.685 (sec), leaf count = 21 $$\{y\left(x\right)=\frac{x{\mathrm{e}}^{-1}}{\mathit{\_}\mathit{C}\mathit{1}}{\mathrm{e}}^{\frac{\mathit{\_}\mathit{C}\mathit{2}}{x}}-x\}$$