8.81   ODE No. 1671

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

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

Mathematica: cpu = 0.042505 (sec), leaf count = 59 $$\{\{y(x)\to c_2-2i{e}^{c_1}\sqrt{e^{2c_1}-x}\},\{y(x)\to c_2+2i{e}^{c_1}\sqrt{e^{2c_1}-x}\}\}$$

Maple: cpu = 0.063 (sec), leaf count = 35 $$\{y\left(x\right)=-2\frac{\sqrt{\mathit{\_}\mathit{C}\mathit{1}x-1}}{\mathit{\_}\mathit{C}\mathit{1}}+\mathit{\_}\mathit{C}\mathit{2},y\left(x\right)=2\frac{\sqrt{\mathit{\_}\mathit{C}\mathit{1}x-1}}{\mathit{\_}\mathit{C}\mathit{1}}+\mathit{\_}\mathit{C}\mathit{2}\}$$