Let a
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
![Let ab, A and B be constants.
Find the Gâteaux differential of the functional
·b
Styl - ["*dx (x² + ²³y² + 200²)
S[y]
= dx (y² +w²y² + 2yx¹), y(a) = A, y(b) = B,
a
where w is a positive constant.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F59d44c96-efb1-4f3c-83b3-5a6a84cf94cb%2F435bcc11-b673-4005-8984-a54bfc6dce97%2F8m44le_processed.png&w=3840&q=75)
Transcribed Image Text:Let ab, A and B be constants.
Find the Gâteaux differential of the functional
·b
Styl - ["*dx (x² + ²³y² + 200²)
S[y]
= dx (y² +w²y² + 2yx¹), y(a) = A, y(b) = B,
a
where w is a positive constant.
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