$$ y'+\left(1+\frac{2}{x}\right)y=0 $$
I have been trying to solve it all night, but everytime I try to determine the values of the constants, everything equals to zero, I'm honestly at a loss here.
Everytime i tried this is what I'm getting to.
$$ 2C_0x^{-1}+\sum _{n=0}^{\infty }\left[\left(n+1\right)C_{n+1}+C_n+2C_{n+1}\right]=0 $$
Thanks in advance for all the feedback.