My attempt #2:
For
For
For
Green's functions are continuous and so for
So now I also want to ensure that the first derivative has the proper jump, i.e.
Therefore,
Forgot that I was dealing with different constants.
Consider the differential operator on with boundary conditions
Find the Green's function for with the boundary conditions
My attempt:
For
For
For
Green's functions are continuous and so for
This can't be right.