3.889   ODE No. 889

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=-1/8\frac{(-8-8{\left(y\left(x\right)\right)}^3+24{\left(y\left(x\right)\right)}^{3/2}{\mathrm{e}}^x-18{\left({\mathrm{e}}^x\right)}^2-8{\left(y\left(x\right)\right)}^{9/2}+36{\left(y\left(x\right)\right)}^3{\mathrm{e}}^x-54{\left(y\left(x\right)\right)}^{3/2}{\left({\mathrm{e}}^x\right)}^2+27{\left({\mathrm{e}}^x\right)}^3){\mathrm{e}}^x}{\sqrt{y\left(x\right)}}=0}}$$

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

Mathematica: cpu = 0 (sec), leaf count = 0 $$\text{Hanged}$$

Maple: cpu = 0.858 (sec), leaf count = 47 $$\{{\mathrm{e}}^x+\frac{2}{3}\ln ({\left(y\left(x\right)\right)}^{\frac{3}{2}}-\frac{3{\mathrm{e}}^x}{2})+\frac{2}{3}{({\left(y\left(x\right)\right)}^{\frac{3}{2}}-\frac{3{\mathrm{e}}^x}{2})}^{-1}-\frac{2}{3}\ln ({\left(y\left(x\right)\right)}^{\frac{3}{2}}-\frac{3{\mathrm{e}}^x}{2}+1)-\mathit{\_}\mathit{C}\mathit{1}=0\}$$