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
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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: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
Can x = -x in Examnle 2
FIGURE 12.5.1 Positive roots of
y = tan x
X3
X4
X2
y = -x
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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