9.10   ODE No. 1846

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

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

Mathematica: cpu = 0.040505 (sec), leaf count = 51 $$\{\{y(x)\to c_1\},\{y(x)\to \sqrt{\frac{2}{3}}{e}^{-\sqrt{\frac{3}{2}}x}(c_1{e}^{\sqrt{6}x}-c_2)+c_3\}\}$$

Maple: cpu = 0.0 (sec), leaf count = 28 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1},y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}+\mathit{\_}\mathit{C}\mathit{2}{\mathrm{e}}^{\frac{\sqrt{6}x}{2}}+\mathit{\_}\mathit{C}\mathit{3}{\mathrm{e}}^{-\frac{\sqrt{6}x}{2}}\}$$