I'm trying to understand a solved problem in our notes and can't find a similar technique used elsewhere, so I'm asking for some assistance in understanding what exactly they did.
Find a general solution to the equation
and the particular solution when
The characteristic equations are:
I don't really understand these next steps they do which is:
These imply that for some constant
from which it follows that two integrals are for constants ( )
There are a few more steps after this, but I guess I'll ask about those if I don't understand them after I understand these steps.
Thanks for any assistance.