2.463   ODE No. 463

\[ y(x) y'(x)^2-e^{2 x}=0 \] Mathematica : cpu = 0.0468933 (sec), leaf count = 47


\[\left \{\left \{y(x)\to \left (\frac {3}{2}\right )^{2/3} \left (-e^x+c_1\right ){}^{2/3}\right \},\left \{y(x)\to \left (\frac {3}{2}\right )^{2/3} \left (e^x+c_1\right ){}^{2/3}\right \}\right \}\] Maple : cpu = 0.125 (sec), leaf count = 50


\[-\frac {\sqrt {{\mathrm e}^{2 x} y \relax (x )}}{\sqrt {y \relax (x )}}+\frac {2 y \relax (x )^{\frac {3}{2}}}{3}+c_{1} = 0\]