APM346-2012 > Home Assignment 4

Problem 3

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James McVittie:
What is implied by the word "weird", is it just something unexpected that comes up or something that hasn't been discussed in the course? Thanks!

Victor Ivrii:

--- Quote from: James McVittie on October 20, 2012, 10:01:33 PM ---What is implied by the word "weird", is it just something unexpected that comes up or something that hasn't been discussed in the course? Thanks!

--- End quote ---

Why you don't try to solve and see by yourself?

James McVittie:
Are we allowed to assume that solutions are real or must we always assume in greatest generality that the solution could be complex?
Thanks

Victor Ivrii:

--- Quote from: James McVittie on October 22, 2012, 11:58:32 AM ---Are we allowed to assume that solutions are real or must we always assume in greatest generality that the solution could be complex?
Thanks

--- End quote ---

Have you read the preamble of this HA? It says that you may assume that eigenvalues are real (but nothing about eigenfunctions).

Shu Wang:
uh, say we assume some form of solution for X(x) and T(t), so there will be 3 coefficients. When we setup the matrix for A,B,C it becomes 2x3 matrix since we're given 2 B.C. I was wondering if we were to solve for eigenvalue for the matrix, do we need to take into account for all combinations of 2x2 matrices? (In other words, break the matrix into A&B, B&C, A&C). Or am I just completely off the question? o.O

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