3.332   ODE No. 332

$$\boxed{{\displaystyle (\sqrt{xy\left(x\right)}-1)x\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)-(\sqrt{xy\left(x\right)}+1)y\left(x\right)=0}}$$

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

Mathematica: cpu = 0.080510 (sec), leaf count = 24 $$\text{Solve}[\frac{2}{\sqrt{xy(x)}}+\log (y(x))-\log (x)=c_1,y(x)]$$

Maple: cpu = 0.015 (sec), leaf count = 31 $$\{\ln \left(x\right)-\mathit{\_}\mathit{C}\mathit{1}-\frac{1}{2}(\ln \left(xy\left(x\right)\right)\sqrt{xy\left(x\right)}+2)\frac{1}{\sqrt{xy\left(x\right)}}=0\}$$