.
This seperates into 2 equations: and
. The second equation has solution
of exponentials or linear term for
. The first equation is solved
by
,
, or for
,
. The general solution is a superposition of all
these solutions.
:
and
so we want
to satisfy
. Must have
in order to avoid
the singularity. so
. Very near to the cornet, you will get only the
lowest order terms contributing. Then
.