Equation for flux in reflected slab reactor

[StudioSaturn]

So, I've been at this for a while now. I am using my textbook (Introduction to NE, Lamarsh) and I cannot find a solution to calculate the thermal and fast fluxes in the reflector of a critical slab reactor. I have only been able to find solutions for the spherical shape, even online. As I understand it, the general solution is

And for spherical geometry, the fast flux can be resolved in a finite reflector to be

But what about the slab?
If anyone could point me to a source online, or if you could offer any help here it would be appreciated. I have been able to calculate the thermal and fast fluxes in the core, but the reflector has me stumped. Thanks in advance!

 

[StudioSaturn]

These are the equations I used for the core.
For thermal flux in the core:

And to get the fast flux from the thermal flux:

Also, I know that at the reflector-core interface, the fluxes must be continuous, and there is no neutron source term in the reflector. Thanks