8.239   ODE No. 1829

$$\boxed{{\displaystyle 3x^2{\left(\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)\right)}^2-2(3x\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)+y\left(x\right))\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)+4{\left(\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)\right)}^2=0}}$$

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

Mathematica: cpu = 0.006001 (sec), leaf count = 24 $$\left\{\{y(x)\to \frac{c_1^2{x}^2}{c_2}+c_{1}x+c_2\}\right\}$$

Maple: cpu = 0.234 (sec), leaf count = 32 $$\{y\left(x\right)=x^{\frac{2\sqrt{3}}{3}}\mathit{\_}\mathit{C}\mathit{1}x,y\left(x\right)=\frac{{\mathit{\_}\mathit{C}\mathit{1}}^2{x}^2}{\mathit{\_}\mathit{C}\mathit{2}}+\mathit{\_}\mathit{C}\mathit{1}x+\mathit{\_}\mathit{C}\mathit{2}\}$$