2.462   ODE No. 462

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

$$y(x)y^{\prime }(x{)}^2-1=0$$ ✓ Mathematica : cpu = 0.0209024 (sec), leaf count = 43

$$\{\{y(x)\to {\left(\frac{3}{2}\right)}^{2/3}(-x+c_1){}^{2/3}\},\{y(x)\to {\left(\frac{3}{2}\right)}^{2/3}(x+c_1){}^{2/3}\}\}$$ ✓ Maple : cpu = 0.086 (sec), leaf count = 27

$$\{x-\frac{2}{3}{\left(y\left(x\right)\right)}^{\frac{3}{2}}-\mathit{\_}\mathit{C}\mathit{1}=0,x+\frac{2}{3}{\left(y\left(x\right)\right)}^{\frac{3}{2}}-\mathit{\_}\mathit{C}\mathit{1}=0\}$$