3.109   ODE No. 109

$$\boxed{{\displaystyle x\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)-y\left(x\right)(2y\left(x\right)\ln \left(x\right)-1)=0}}$$

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

Mathematica: cpu = 0.011001 (sec), leaf count = 17 $$\left\{\{y(x)\to \frac{1}{c_{1}x+2\log (x)+2}\}\right\}$$

Maple: cpu = 0.015 (sec), leaf count = 15 $$\{y\left(x\right)={(2+\mathit{\_}\mathit{C}\mathit{1}x+2\ln \left(x\right))}^{-1}\}$$