8.71   ODE No. 1661

$$\boxed{{\displaystyle 8\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)+9{\left(\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)\right)}^4=0}}$$

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

Mathematica: cpu = 0.034004 (sec), leaf count = 92 $$\{\{y(x)\to c_2-\frac{1}{3}\sqrt[3]{-\frac{1}{3}}(9x-8c_1){}^{2/3}\},\{y(x)\to \frac{(9x-8c_1){}^{2/3}}{3\sqrt[3]{3}}+c_2\},\{y(x)\to \frac{(-1{)}^{2/3}(9x-8c_1){}^{2/3}}{3\sqrt[3]{3}}+c_2\}\}$$

Maple: cpu = 0.062 (sec), leaf count = 51 $$\{y\left(x\right)={(\mathit{\_}\mathit{C}\mathit{1}+x)}^{\frac{2}{3}}+\mathit{\_}\mathit{C}\mathit{2},y\left(x\right)=\frac{i\sqrt{3}-1}{2}{(\mathit{\_}\mathit{C}\mathit{1}+x)}^{\frac{2}{3}}+\mathit{\_}\mathit{C}\mathit{2},y\left(x\right)=-\frac{i\sqrt{3}+1}{2}{(\mathit{\_}\mathit{C}\mathit{1}+x)}^{\frac{2}{3}}+\mathit{\_}\mathit{C}\mathit{2}\}$$