8.91   ODE No. 1681

$$\boxed{{\displaystyle 9x^2\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)+a{\left(y\left(x\right)\right)}^3+2y\left(x\right)=0}}$$

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

Mathematica: cpu = 3.482442 (sec), leaf count = 26 $$\text{DSolve}[ay(x{)}^3+9x^2{y}^{″}(x)+2y(x)=0,y(x),x]$$

Maple: cpu = 0.780 (sec), leaf count = 31 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{2}\mathit{J}\mathit{a}\mathit{c}\mathit{o}\mathit{b}\mathit{i}\mathit{S}\mathit{N}((\frac{\sqrt{2}}{2x^3}\sqrt{x^{\frac{20}{3}}a}+\mathit{\_}\mathit{C}\mathit{1})\mathit{\_}\mathit{C}\mathit{2},i)\sqrt[3]{x}\}$$