I have problems solving an equation and I have to solve a second order diferential eacution first but a don't remember how to deal with that kind of equations. Is this:
$$A(x)y''+A'(x)y'+ay=0$$
where
$A(x)=ce^{-\frac{k}{t(x)}}$, $c,k>0$,
$A'(x)=ce^{-\frac{k}{t(x)}}\frac{k}{t(x)^2}t'(x)$,
and $a>0.$