How can I find the solution around $r=1$ for this ODE?

The ODE is

$$-B^{primeprime}r(r-1)+B^prime+left(dfrac{1}{r}+dfrac{r^3}{exp(-r)}right)B=0$$

where a prime indicates a derivative wrt $r$. I need to find the solution around $r=1$. The exponential blocks me, if it weren’t there I could use Frobenius method.

How can I do it? Is it a solution to expand the exponential around $r=1$?