I have 2 problems that I am stuck on (see attached), I dont know how to go any further. Any tips or advice on what Im doing wrong?
As for your first question, it doesn't matter. Define
then drop the bar.
For your second question, let go back when we introduced new coordiantes such that
gave your PDE by choosing
with the IC as when From the second two we find
which integrates gives . Imposing the IC gives giving .