8.93   ODE No. 1683

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

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

Mathematica: cpu = 0.068509 (sec), leaf count = 26 $$\left\{\{y(x)\to -\frac{x\log \left(a(-\frac{c_1}{x}-c_2)\right)}{a}\}\right\}$$

Maple: cpu = 0.796 (sec), leaf count = 23 $$\{y\left(x\right)=-\frac{x}{a}\ln \left(\frac{a(\mathit{\_}\mathit{C}\mathit{1}x-\mathit{\_}\mathit{C}\mathit{2})}{x}\right)\}$$