3.725   ODE No. 725

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

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

Mathematica: cpu = 0.265034 (sec), leaf count = 19 $$\left\{\{y(x)\to \tan (c_1+\log (2)\text{li}(x)+x)-x\}\right\}$$

Maple: cpu = 0.561 (sec), leaf count = 25 $$\{y\left(x\right)=-x-\tan (\ln \left(2\right)\mathit{E}\mathit{i}(1,-\ln \left(x\right))+\mathit{\_}\mathit{C}\mathit{1}-x)\}$$