3.416   ODE No. 416

$$\boxed{{\displaystyle x{\left(\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)\right)}^2+(y\left(x\right)-3x)\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)+y\left(x\right)=0}}$$

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

Mathematica: cpu = 0 (sec), leaf count = 0 $$\text{Hanged}$$

Maple: cpu = 0.546 (sec), leaf count = 136 $$\{-\frac{\mathit{\_}\mathit{C}\mathit{1}}{x}(5x-y\left(x\right)+\sqrt{9x^2-10xy\left(x\right)+{\left(y\left(x\right)\right)}^2}){\left(\frac{1}{x}(3x-y\left(x\right)+\sqrt{9x^2-10xy\left(x\right)+{\left(y\left(x\right)\right)}^2})\right)}^{-\frac{3}{2}}+x=0,\frac{\mathit{\_}\mathit{C}\mathit{1}}{x}(-5x+y\left(x\right)+\sqrt{9x^2-10xy\left(x\right)+{\left(y\left(x\right)\right)}^2}){\left(\frac{1}{x}(6x-2y\left(x\right)-2\sqrt{9x^2-10xy\left(x\right)+{\left(y\left(x\right)\right)}^2})\right)}^{-\frac{3}{2}}+x=0,y\left(x\right)=x\}$$