8.125   ODE No. 1715

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

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

Mathematica: cpu = 0.034504 (sec), leaf count = 26 $$\left\{\{y(x)\to c_2(-ax-c_1+x){}^{\frac{1}{1-a}}\}\right\}$$

Maple: cpu = 1.638 (sec), leaf count = 25 $$\{y\left(x\right)={\left(\frac{1}{(1-a)(\mathit{\_}\mathit{C}\mathit{1}x+\mathit{\_}\mathit{C}\mathit{2})}\right)}^{{(a-1)}^{-1}}\}$$