2.332   ODE No. 332

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

$$\text{Global}\stackrel{`}{}\text{x}(\sqrt{\text{Global}\stackrel{`}{}\text{x}\text{Global}\stackrel{`}{}\text{y}(\text{Global}\stackrel{`}{}\text{x})}-1){\text{Global}\stackrel{`}{}\text{y}}^{\prime }(\text{Global}\stackrel{`}{}\text{x})-\text{Global}\stackrel{`}{}\text{y}(\text{Global}\stackrel{`}{}\text{x})(\sqrt{\text{Global}\stackrel{`}{}\text{x}\text{Global}\stackrel{`}{}\text{y}(\text{Global}\stackrel{`}{}\text{x})}+1)=0$$ ✓ Mathematica : cpu = 0.0827822 (sec), leaf count = 24

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

✓ Maple : cpu = 0.014 (sec), leaf count = 31

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