2.328   ODE No. 328

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

$$a{x}^{2}y(x{)}^n{y}^{\prime }(x)-2x{y}^{\prime }(x)+y(x)=0$$ ✓ Mathematica : cpu = 0.240216 (sec), leaf count = 42

$$\text{Solve}[\frac{n(\log (x)-\log (-axy(x{)}^n+n+2))}{n+2}-\frac{2n\log (y(x))}{n+2}=c_1,y(x)]$$ ✓ Maple : cpu = 0.165 (sec), leaf count = 33

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