8.182   ODE No. 1772

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

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

Mathematica: cpu = 0.866110 (sec), leaf count = 37 $$\left\{\{y(x)\to x(((a-1)(\frac{(-1{)}^{a+1}{c}_1}{x}-c_2)){}^{\frac{1}{1-a}}+1)\}\right\}$$

Maple: cpu = 1.670 (sec), leaf count = 47 $$\{\mathit{\_}\mathit{C}\mathit{1}+(ax-x)\mathit{\_}\mathit{C}\mathit{2}-x^{a}y\left(x\right){(x-y\left(x\right))}^{-a}+x^{a+1}{(x-y\left(x\right))}^{-a}=0\}$$