2.1701   ODE No. 1701

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

$$-y^{\prime }(x{)}^2+y(x)y^{″}(x)-1=0$$ ✓ Mathematica : cpu = 0.184532 (sec), leaf count = 80

$$\{\{y(x)\to -\frac{e^{-c_1}\tanh (e^{c_1}(x+c_2))}{\sqrt{-1+{\tanh }^2(e^{c_1}(x+c_2))}}\},\{y(x)\to \frac{e^{-c_1}\tanh (e^{c_1}(x+c_2))}{\sqrt{-1+{\tanh }^2(e^{c_1}(x+c_2))}}\}\}$$ ✓ Maple : cpu = 1.773 (sec), leaf count = 42

$$\{y\left(x\right)=\frac{\mathit{\_}\mathit{C}\mathit{1}}{2}({\left({\mathrm{e}}^{\frac{\mathit{\_}\mathit{C}\mathit{2}}{\mathit{\_}\mathit{C}\mathit{1}}}\right)}^2{\left({\mathrm{e}}^{\frac{x}{\mathit{\_}\mathit{C}\mathit{1}}}\right)}^2+1){\left({\mathrm{e}}^{\frac{\mathit{\_}\mathit{C}\mathit{2}}{\mathit{\_}\mathit{C}\mathit{1}}}\right)}^{-1}{\left({\mathrm{e}}^{\frac{x}{\mathit{\_}\mathit{C}\mathit{1}}}\right)}^{-1}\}$$