2.1781   ODE No. 1781

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

$$(1-2y(x))y^{\prime }(x{)}^2+(y(x{)}^2+1)y^{″}(x)=0$$ ✓ Mathematica : cpu = 0.176411 (sec), leaf count = 46

$$\left\{\{y(x)\to \frac{i(1-c_1{}^{2i}(x+c_2){}^{2i})}{1+c_1{}^{2i}(x+c_2){}^{2i}}\}\right\}$$ ✓ Maple : cpu = 0.256 (sec), leaf count = 11

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