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Consider the eigenvalue problem X"(x) - pX(x) = 0 (0 < x < a) X'(0) = 0, X'(a) = -3X(a), where p is a constant. Show that if A> 0 and if p = -12 is an eigenvalue, then 3 cot(a) = A.

Consider the eigenvalue problem X"(x) - pX(x) = 0 (0 < x < a) X'(0) = 0, X'(a) = -3X(a), where p is a constant. Show that if A> 0 and if p = -12 is an eigenvalue, then 3 cot(a) = A.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.3: The Gram-schmidt Process And The Qr Factorization
Problem 1BEXP
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Consider the eigenvalue problem [ X"(x) - pX(x) = 0 (0<x<a) X'(0) = 0, X'(a) = -3X(a), where p is a constant. Show that if X>0 and if p = -X2 is an eigenvalue, then 3 cot(a) = A.
Transcribed Image Text:Consider the eigenvalue problem [ X"(x) - pX(x) = 0 (0<x<a) X'(0) = 0, X'(a) = -3X(a), where p is a constant. Show that if X>0 and if p = -X2 is an eigenvalue, then 3 cot(a) = A.
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