8.23   ODE No. 1613

$$\boxed{{\displaystyle \frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)+5a\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)-6{\left(y\left(x\right)\right)}^2+6a^{2}y\left(x\right)=0}}$$

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

Mathematica: cpu = 2.182777 (sec), leaf count = 31 $$\text{DSolve}[6a^{2}y(x)+5a{y}^{\prime }(x)+y^{″}(x)-6y(x{)}^2=0,y(x),x]$$

Maple: cpu = 0.016 (sec), leaf count = 27 $$\{y\left(x\right)=\mathit{W}\mathit{e}\mathit{i}\mathit{e}\mathit{r}\mathit{s}\mathit{t}\mathit{r}\mathit{a}\mathit{s}\mathit{s}\mathit{P}(-\frac{{\mathrm{e}}^{-ax}}{a}+\mathit{\_}\mathit{C}\mathit{1},0,\mathit{\_}\mathit{C}\mathit{2}){\left({\mathrm{e}}^{-ax}\right)}^2\}$$