2.1764   ODE No. 1764

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

$$xy(x)y^{″}(x)-2x{y}^{\prime }(x{)}^2+(y(x)+1)y^{\prime }(x)=0$$ ✓ Mathematica : cpu = 0.0623444 (sec), leaf count = 52

$$\left\{\{y(x)\to \frac{\tan \left(\frac{1}{2}(\sqrt{2}\sqrt{c_1}\log (x)-\sqrt{2}\sqrt{c_1}{c}_2)\right)}{\sqrt{2}\sqrt{c_1}}\}\right\}$$

✓ Maple : cpu = 0.447 (sec), leaf count = 18

$$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}\tanh \left(\frac{\ln \left(x\right)-\mathit{\_}\mathit{C}\mathit{2}}{2\mathit{\_}\mathit{C}\mathit{1}}\right)\}$$