2.1661   ODE No. 1661

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

$$9y^{\prime }(x{)}^4+8y^{″}(x)=0$$ ✓ Mathematica : cpu = 0.0644628 (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 = 0.307 (sec), leaf count = 51

$$\{y\left(x\right)={(x+\mathit{\_}\mathit{C}\mathit{1})}^{\frac{2}{3}}+\mathit{\_}\mathit{C}\mathit{2},y\left(x\right)=\frac{-1+i\sqrt{3}}{2}{(x+\mathit{\_}\mathit{C}\mathit{1})}^{\frac{2}{3}}+\mathit{\_}\mathit{C}\mathit{2},y\left(x\right)=-\frac{1+i\sqrt{3}}{2}{(x+\mathit{\_}\mathit{C}\mathit{1})}^{\frac{2}{3}}+\mathit{\_}\mathit{C}\mathit{2}\}$$