3.346   ODE No. 346

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

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

Mathematica: cpu = 0.054007 (sec), leaf count = 24 $$\text{Solve}[ax\log (xy(x))-y(x)\log (xy(x))=c_1,y(x)]$$

Maple: cpu = 0.202 (sec), leaf count = 19 $$\{{\left(xy\left(x\right)\right)}^{-ax+y\left(x\right)}-\mathit{\_}\mathit{C}\mathit{1}=0\}$$