8.138   ODE No. 1728

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

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

Mathematica: cpu = 0.005501 (sec), leaf count = 31 $$\left\{\{y(x)\to \frac{x^2(c_1^2-a)}{4c_2}+c_{1}x+c_2\}\right\}$$

Maple: cpu = 1.622 (sec), leaf count = 24 $$\{y\left(x\right)=\frac{({\mathit{\_}\mathit{C}\mathit{1}}^2-a)x^2}{4\mathit{\_}\mathit{C}\mathit{2}}+\mathit{\_}\mathit{C}\mathit{1}x+\mathit{\_}\mathit{C}\mathit{2}\}$$