Homework Statement
Solve the following differential equations by series and also by an elementary method and verify that your solutions agree.
(x^2+2x)y''-2(x+1)y'+2y=0
Homework Equations
y=\sum_{n=0}^{\infty} a_nx^n
y'=\sum_{n=1}^{\infty} na_nx^{n-1}
y''=\sum_{n=1}^{\infty}...