\[ 2 a^2 y(x)+3 a y'(x)+y''(x)-2 y(x)^3=0 \] ✗ Mathematica : cpu = 1.36862 (sec), leaf count = 0 , could not solve
DSolve[2*a^2*y[x] - 2*y[x]^3 + 3*a*Derivative[1][y][x] + Derivative[2][y][x] == 0, y[x], x]
✓ Maple : cpu = 0.066 (sec), leaf count = 33
\[ \left \{ y \left ( x \right ) ={\frac {{\it \_C2}}{{{\rm e}^{ax}}}{\it JacobiSN} \left ( \left ( -{\frac {1}{a}\sqrt {-{{\rm e}^{-2\,ax}}}}+{\it \_C1} \right ) {\it \_C2},i \right ) } \right \} \]