2.1614   ODE No. 1614

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

\[ 2 a^2 y(x)+3 a y'(x)+y''(x)-2 y(x)^3=0 \] Mathematica : cpu = 0.964542 (sec), leaf count = 32

\[\left \{\left \{y(x)\to -i a c_1 e^{-a x} \text {sn}\left (\left .e^{-a x} c_1+c_2\right |-1\right )\right \}\right \}\] Maple : cpu = 1.122 (sec), leaf count = 33

\[\left \{y \left (x \right ) = c_{2} {\mathrm e}^{-a x} \mathrm {sn}\left (c_{2} \left (c_{1}-\frac {\sqrt {-{\mathrm e}^{-2 a x}}}{a}\right )| i\right )\right \}\]