8.78   ODE No. 1668

$$\boxed{{\displaystyle x\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)-(1-y\left(x\right))\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=0}}$$

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

Mathematica: cpu = 0.082010 (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 = 0.109 (sec), leaf count = 24 $$\{y\left(x\right)=\frac{1}{\mathit{\_}\mathit{C}\mathit{1}}(2\mathit{\_}\mathit{C}\mathit{1}+\tanh \left(\frac{\ln \left(x\right)-\mathit{\_}\mathit{C}\mathit{2}}{2\mathit{\_}\mathit{C}\mathit{1}}\right))\}$$