3.37   ODE No. 37

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

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

Mathematica: cpu = 0.679086 (sec), leaf count = 78 $$\text{Solve}[-ia{e}^x=\frac{2e^{\frac{1}{2}{(-ia{e}^x-\frac{i}{y(x)})}^2}}{2c_1+\sqrt{2\pi }\text{erfi}\left(\frac{-ia{e}^x-\frac{i}{y(x)}}{\sqrt{2}}\right)},y(x)]$$

Maple: cpu = 0.062 (sec), leaf count = 50 $$\{\mathit{\_}\mathit{C}\mathit{1}+\frac{1}{a{\mathrm{e}}^x}{\mathrm{e}}^{-\frac{{(a{\mathrm{e}}^x+{\left(y\left(x\right)\right)}^{-1})}^2}{2}}+\frac{\sqrt{2}\sqrt{\pi }}{2}\mathit{E}\mathit{r}\mathit{f}\left(\frac{(a{\mathrm{e}}^x+{\left(y\left(x\right)\right)}^{-1})\sqrt{2}}{2}\right)=0\}$$

Sage: cpu = 0 (sec), leaf count = 0 $$\text{Maxima was unable to solve this ODE}$$