2.1697   ODE No. 1697

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

$$-a+y^{\prime }(x{)}^2+y(x)y^{″}(x)=0$$ ✓ Mathematica : cpu = 0.16745 (sec), leaf count = 94

$$\{\{y(x)\to -\frac{\sqrt{a^2{x}^2+2a^2{c}_{2}x+a^2{c}_2{}^2-e^{2c_1}}}{\sqrt{a}}\},\{y(x)\to \frac{\sqrt{a^2{x}^2+2a^2{c}_{2}x+a^2{c}_2{}^2-e^{2c_1}}}{\sqrt{a}}\}\}$$ ✓ Maple : cpu = 0.188 (sec), leaf count = 39

$$\{y\left(x\right)=\sqrt{a{x}^2-2\mathit{\_}\mathit{C}\mathit{1}x+2\mathit{\_}\mathit{C}\mathit{2}},y\left(x\right)=-\sqrt{a{x}^2-2\mathit{\_}\mathit{C}\mathit{1}x+2\mathit{\_}\mathit{C}\mathit{2}}\}$$