8.24   ODE No. 1614

$$\boxed{{\displaystyle \frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)+3a\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)-2{\left(y\left(x\right)\right)}^3+2a^{2}y\left(x\right)=0}}$$

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

Mathematica: cpu = 1.489689 (sec), leaf count = 31 $$\text{DSolve}[2a^{2}y(x)+3a{y}^{\prime }(x)+y^{″}(x)-2y(x{)}^3=0,y(x),x]$$

Maple: cpu = 0.047 (sec), leaf count = 33 $$\{y\left(x\right)=\frac{\mathit{\_}\mathit{C}\mathit{2}}{{\mathrm{e}}^{ax}}\mathit{J}\mathit{a}\mathit{c}\mathit{o}\mathit{b}\mathit{i}\mathit{S}\mathit{N}((-\frac{1}{a}\sqrt{-{\mathrm{e}}^{-2ax}}+\mathit{\_}\mathit{C}\mathit{1})\mathit{\_}\mathit{C}\mathit{2},i)\}$$