find the eigenvalues and cortespanding eigen functions for the_followng boundary valve problem on interval r0,2] y" + 2ył+ ^y=o !) with boundary Conditions ? y@) + y!6)=o and y(2)=0
find the eigenvalues and cortespanding eigen functions for the_followng boundary valve problem on interval r0,2] y" + 2ył+ ^y=o !) with boundary Conditions ? y@) + y!6)=o and y(2)=0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![find the eigebvalues and correspanding
eigen funcfions for the_Followng boundary Value
problem on interval r0,2]
y",+2yT+ ^y=0
1) with boundary Conditions :
y@)+ y!@)=o and y(2)=0
(2) with boundary conditons:
2 yel +y'@) = and y'2)=0
hint: You mig ht not be able to solve to find the
eigen Valves exPliy7y. Orawa graph as the one
Shown below Fouße 12:5.1] to show there are
infihitely many eigenvalves and that they
Converge to Tnfinity](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F895cdbf7-baee-42dc-ad7f-605273edb74b%2Fa04989fe-c7ba-4f4e-80d6-0d0c43f42ced%2Fb9k6nah_processed.jpeg&w=3840&q=75)
Transcribed Image Text:find the eigebvalues and correspanding
eigen funcfions for the_Followng boundary Value
problem on interval r0,2]
y",+2yT+ ^y=0
1) with boundary Conditions :
y@)+ y!@)=o and y(2)=0
(2) with boundary conditons:
2 yel +y'@) = and y'2)=0
hint: You mig ht not be able to solve to find the
eigen Valves exPliy7y. Orawa graph as the one
Shown below Fouße 12:5.1] to show there are
infihitely many eigenvalves and that they
Converge to Tnfinity
Transcribed Image Text:Can x = -x in Examnle 2
FIGURE 12.5.1 Positive roots of
y = tan x
X3
X4
X2
y = -x
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