The eigenvalues An and the eigenfunctions Yn of the Sturm-Liouville problem a²y" + xy' + Ay = 0,1 < x < 3, y(1) = 0, y(3) = 0, are a) An In(3) Yn = Bn = sin nn In(z) In(3) n> 1 пт In (x) sin b) Yn Bn n 21 [In(3)]² In(3) O c) None of these ) An = n²n², Yn Bn sin[nn In(x)], n>1 e) An , Yn = ), n>1 Bn sin ( 9. 3
The eigenvalues An and the eigenfunctions Yn of the Sturm-Liouville problem a²y" + xy' + Ay = 0,1 < x < 3, y(1) = 0, y(3) = 0, are a) An In(3) Yn = Bn = sin nn In(z) In(3) n> 1 пт In (x) sin b) Yn Bn n 21 [In(3)]² In(3) O c) None of these ) An = n²n², Yn Bn sin[nn In(x)], n>1 e) An , Yn = ), n>1 Bn sin ( 9. 3
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
![The eigenvalues An and the eigenfunctions Yn of the Sturm-Liouville problem
x?y" + xy' + Xy = 0,1 < x < 3. y(1) = 0, y(3) = 0, are
a)
nn In(x)
Yn = Bn = sin
n > 1
In(3)
пл In (х)
In(3)
b)
Yn = Bn
sin
n >1
[In(3)]² '
c) None of these
O d) An = n²n², Yn = Bn sin[na In(x)], n > 1
O e) An
, Yn = Bn sin ("), n > 1
9
3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc9133870-6329-47fc-8646-3a7c388192b7%2Ff229256d-23f7-41ef-91b8-99c0dbc8c491%2Fife5qh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The eigenvalues An and the eigenfunctions Yn of the Sturm-Liouville problem
x?y" + xy' + Xy = 0,1 < x < 3. y(1) = 0, y(3) = 0, are
a)
nn In(x)
Yn = Bn = sin
n > 1
In(3)
пл In (х)
In(3)
b)
Yn = Bn
sin
n >1
[In(3)]² '
c) None of these
O d) An = n²n², Yn = Bn sin[na In(x)], n > 1
O e) An
, Yn = Bn sin ("), n > 1
9
3
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