2.1772   ODE No. 1772

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

$$a{(x{y}^{\prime }(x)-y(x))}^2+x^2(x-y(x))y^{″}(x)=0$$ ✓ Mathematica : cpu = 0.904813 (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 = 0.413 (sec), leaf count = 47

$$\{\mathit{\_}\mathit{C}\mathit{1}+(ax-x)\mathit{\_}\mathit{C}\mathit{2}-x^{a}y\left(x\right){(x-y\left(x\right))}^{-a}+x^{a+1}{(x-y\left(x\right))}^{-a}=0\}$$