Hi I am stuck on a PDE boundary question, I think I have shown the equation seperates and understand what the boundarys mean but I am not sure how to show the general solution and then solve the boundary value problems. Please help
Assume solution to the modified diffusion equation .
First it says show the equation seperates, I think the follwing is correct?:
substituting the solution into the equation:
Then it wants the general solution for X(x) and T(t)
and then assuming solve the boundary value problem:
and finally characterise the differenc between solutions for and
I have found a similiar problem in Boyce's elementary Diff equations book but just cant work it out!