2.463   ODE No. 463

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

\[ y(x) y'(x)^2-e^{2 x}=0 \] Mathematica : cpu = 0.0519976 (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 = 0.112 (sec), leaf count = 50

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