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 = 0.030403 (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 = 0.205 (sec), leaf count = 50

\[ \left \{ -{\sqrt {y \left ( x \right ) \left ( {{\rm e}^{x}} \right ) ^{2}}{\frac {1}{\sqrt {y \left ( x \right ) }}}}+{\frac {2}{3} \left ( y \left ( x \right ) \right ) ^{{\frac {3}{2}}}}+{\it \_C1}=0,{\sqrt {y \left ( x \right ) \left ( {{\rm e}^{x}} \right ) ^{2}}{\frac {1}{\sqrt {y \left ( x \right ) }}}}+{\frac {2}{3} \left ( y \left ( x \right ) \right ) ^{{\frac {3}{2}}}}+{\it \_C1}=0 \right \} \]