2.1765   ODE No. 1765

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

$$ay(x)y^{\prime }(x)+xy(x)y^{″}(x)-2x{y}^{\prime }(x{)}^2=0$$ ✓ Mathematica : cpu = 0.125366 (sec), leaf count = 24

$$\left\{\{y(x)\to \frac{c_2{x}^a}{(a-1)c_1{x}^a+x}\}\right\}$$

✓ Maple : cpu = 0.306 (sec), leaf count = 31

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