4.355   ODE No. 1355

$$\boxed{{\displaystyle \frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)=-\frac{(x^3-1)\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)}{(x^3+1)x}+\frac{xy\left(x\right)}{x^3+1}=0}}$$

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

Mathematica: cpu = 0.131517 (sec), leaf count = 59 $$\left\{\{y(x)\to \frac{1}{2}{c}_2(2x^2-x^2\sqrt[3]{x^3+1}{}_2{F}_1(\frac{1}{3},\frac{2}{3};\frac{5}{3};-x^3))+c_1\sqrt[3]{x^3+1}\}\right\}$$

Maple: cpu = 0.110 (sec), leaf count = 37 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}{x}^2\sqrt[3]{x^3+1}{}_2\text{F}{}_1(\frac{2}{3},\frac{4}{3};\frac{5}{3};-x^3)+\mathit{\_}\mathit{C}\mathit{2}\sqrt[3]{x^3+1}\}$$