Question 8. Consider the Sturm-Liouville Eigenvalue Problem: dw + sin(x)w = –lw dx? w'(0) = w'(T) = 0. Using the test function w(x) = 1, which of the following is an upper-bound on the smallest eigenvalue? (Note, all answers may be upper-bounds. I'm interested in the one that arises from the given test function.) а. 0 b. -2 с. d. 1 е. — т

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Question 8. Consider the Sturm-Liouville Eigenvalue Problem:
dw
+ sin(x)w = - Aw
dr?
w' (0) = w' (7) = 0.
Using the test function w(x) = 1, which of the following is an upper-bound on the smallest
eigenvalue? (Note, all answers may be upper-bounds. I'm interested in the one that arises
from the given test function.)
a. 0
b. -2
с.
d. 1
е. —т
Transcribed Image Text:Question 8. Consider the Sturm-Liouville Eigenvalue Problem: dw + sin(x)w = - Aw dr? w' (0) = w' (7) = 0. Using the test function w(x) = 1, which of the following is an upper-bound on the smallest eigenvalue? (Note, all answers may be upper-bounds. I'm interested in the one that arises from the given test function.) a. 0 b. -2 с. d. 1 е. —т
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