2.1668   ODE No. 1668

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

$$x{y}^{″}(x)-(1-y(x))y^{\prime }(x)=0$$ ✓ Mathematica : cpu = 0.071166 (sec), leaf count = 60

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

✓ Maple : cpu = 0.169 (sec), leaf count = 24

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