2.1614   ODE No. 1614

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

$$2a^{2}y(x)+3a{y}^{\prime }(x)+y^{″}(x)-2y(x{)}^3=0$$ ✗ Mathematica : cpu = 0.89979 (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 = 0.487 (sec), leaf count = 33

$$\{y\left(x\right)=\frac{\mathit{\_}\mathit{C}\mathit{2}}{{\mathrm{e}}^{ax}}\mathit{J}\mathit{a}\mathit{c}\mathit{o}\mathit{b}\mathit{i}\mathit{S}\mathit{N}((-\frac{1}{a}\sqrt{-{\mathrm{e}}^{-2ax}}+\mathit{\_}\mathit{C}\mathit{1})\mathit{\_}\mathit{C}\mathit{2},i)\}$$