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 = 0.207804 (sec), leaf count = 34

$$\text{Solve}[\log (y(x))-\frac{y(x)\log (x)-\frac{2y(x)}{\sqrt{xy(x)}}}{y(x)}=c_1,y(x)]$$ ✓ Maple : cpu = 0.012 (sec), leaf count = 33

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