3.463   ODE No. 463

$$\boxed{{\displaystyle y\left(x\right){\left(\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)\right)}^2-{\mathrm{e}}^{2x}=0}}$$

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

Mathematica: cpu = 0.017002 (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 = 1.092 (sec), leaf count = 50 $$\{-1\sqrt{y\left(x\right){\left({\mathrm{e}}^x\right)}^2}\frac{1}{\sqrt{y\left(x\right)}}+\frac{2}{3}{\left(y\left(x\right)\right)}^{\frac{3}{2}}+\mathit{\_}\mathit{C}\mathit{1}=0,1\sqrt{y\left(x\right){\left({\mathrm{e}}^x\right)}^2}\frac{1}{\sqrt{y\left(x\right)}}+\frac{2}{3}{\left(y\left(x\right)\right)}^{\frac{3}{2}}+\mathit{\_}\mathit{C}\mathit{1}=0\}$$