\[ 2 a^2 y(x)+3 a y'(x)+y''(x)-2 y(x)^3=0 \] ✓ Mathematica : cpu = 0.866439 (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 = 0.903 (sec), leaf count = 33
\[y \relax (x ) = c_{2} \mathrm {sn}\left (\left (-\frac {\sqrt {-{\mathrm e}^{-2 a x}}}{a}+c_{1}\right ) c_{2}| i\right ) {\mathrm e}^{-a x}\]