1. Suppose that An is an eigenvalue with eigenfunction yn of y"+y=0, 0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![1. Suppose that An is an eigenvalue with eigenfunction yn of
y"+y=0, 0<x<L,
y(0) = 0, y(L) = 0.
Prove that
da
Xn
№n = L 19h (2) 3 de
Sotto
[Yn (x)]² dx](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7f1b4368-5a5b-4a6d-b39b-68f4db26d2cd%2Ff438e52a-53ca-4593-8339-7cdbd3a302d4%2Fucodu8_processed.png&w=3840&q=75)
Transcribed Image Text:1. Suppose that An is an eigenvalue with eigenfunction yn of
y"+y=0, 0<x<L,
y(0) = 0, y(L) = 0.
Prove that
da
Xn
№n = L 19h (2) 3 de
Sotto
[Yn (x)]² dx
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