2.332   ODE No. 332

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

$$x(\sqrt{xy(x)}-1)y^{\prime }(x)-y(x)(\sqrt{xy(x)}+1)=0$$ ✓ Mathematica : cpu = 0.0817774 (sec), leaf count = 24

$$\text{Solve}[\frac{2}{\sqrt{xy(x)}}+\log (y(x))-\log (x)=c_1,y(x)]$$

✓ Maple : cpu = 0.016 (sec), leaf count = 31

$$\{\ln \left(x\right)-\mathit{\_}\mathit{C}\mathit{1}-\frac{1}{2}(\ln \left(xy\left(x\right)\right)\sqrt{xy\left(x\right)}+2)\frac{1}{\sqrt{xy\left(x\right)}}=0\}$$