Here is my answer:
,
Substitute back into PDE
Both must equal so constant
This gives 2 ODE's:
for some for
, (Let )
Let
where is some co-efficient
Then
Therefore
Hello,
Can someone please have a look at this problem and tell me if I have answered it correctly (I do get the solution so I'm more concerned about the process being correct).
Show that using the Fourier's method for and that the PDE
with boundary conditions
has the general solution