2.463   ODE No. 463

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

$$y(x)y^{\prime }(x{)}^2-e^{2x}=0$$ ✓ Mathematica : cpu = 0.0173377 (sec), leaf count = 47

$$\{\{y(x)\to {\left(\frac{3}{2}\right)}^{2/3}(c_1-e^x){}^{2/3}\},\{y(x)\to {\left(\frac{3}{2}\right)}^{2/3}(c_1+e^x){}^{2/3}\}\}$$

✓ Maple : cpu = 0.082 (sec), leaf count = 50

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