8.169   ODE No. 1759

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

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

Mathematica: cpu = 0.036505 (sec), leaf count = 18 $$\left\{\{y(x)\to c_2\sqrt{c_1+x^2}\}\right\}$$

Maple: cpu = 1.498 (sec), leaf count = 31 $$\{y\left(x\right)=\sqrt{\mathit{\_}\mathit{C}\mathit{1}{x}^2+2\mathit{\_}\mathit{C}\mathit{2}},y\left(x\right)=-\sqrt{\mathit{\_}\mathit{C}\mathit{1}{x}^2+2\mathit{\_}\mathit{C}\mathit{2}}\}$$