3.422   ODE No. 422

$$\boxed{{\displaystyle x{\left(\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)\right)}^2-2y\left(x\right)\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)+4x=0}}$$

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

Mathematica: cpu = 0.046506 (sec), leaf count = 49 $$\{\{y(x)\to 2(2x{\sinh }^2\left(\frac{1}{2}(c_1-\log (x))\right)+x)\},\{y(x)\to 2(2x{\sinh }^2\left(\frac{1}{2}(c_1+\log (x))\right)+x)\}\}$$

Maple: cpu = 0.515 (sec), leaf count = 29 $$\{y\left(x\right)=-2x,y\left(x\right)=2x,y\left(x\right)=-\frac{\mathit{\_}\mathit{C}\mathit{1}}{2}(-\frac{x^2}{{\mathit{\_}\mathit{C}\mathit{1}}^2}-4)\}$$