I don't think you can assume
Well, you don't actually 'assume' it. You decompose the solution into two parts: the plainly homogeneous part (u_1) and what's left of the original function (u_2).
Thankfully (great job, superposition) it works.
This is a question in the book to solve Heat Problem
With 0<r<1, , t>0. And
The solution manual gave this which I don't agree:
What the solution manual did is for , it has to assume in order using Dirichlet problem to get (1a) shown in the scanned note.
I disagree.
I think it should use the complete solution shown in (2a), then let t=0 where
I don't agree with the first part as I don't think you can assume . Please explain to me.
Thanks
I don't think you can assume
Well, you don't actually 'assume' it. You decompose the solution into two parts: the plainly homogeneous part (u_1) and what's left of the original function (u_2).
Thankfully (great job, superposition) it works.