I'm doing revision for an exam in 2 days and I don't quite understand one of the final steps in the problem (worked example)
Parametrization of IC's ->
I don't quite understand why this is done. I can see how its used to solve this question....is it just a standard method to solve PDE's?
Apply the initial data to get
I'm not sure why this is....
and I don't understand any of the remaining steps:
(I'm not sure where comes from and the RHS is just integrating with respect to t, right?
Im not sure what is or where the term comes from
. I don't understand this because I don't know what is.
I actually think I understand this line.
Can someone please explain this to me? I'm worried.