8.179   ODE No. 1769

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

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

Mathematica: cpu = 0.045506 (sec), leaf count = 18 $$\left\{\{y(x)\to c_2(c_1+\sqrt{x}){}^2\}\right\}$$

Maple: cpu = 1.575 (sec), leaf count = 21 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}\sqrt{x}\mathit{\_}\mathit{C}\mathit{2}+{\mathit{\_}\mathit{C}\mathit{1}}^{2}x+\frac{{\mathit{\_}\mathit{C}\mathit{2}}^2}{4}\}$$