The eigenfunctions for y"- 2y'+ Xy = 0, y(0) = 1, y(1) = 0 are o {c² sin(nrx)} 1 00 O {e sin(")}n-1 2 o {e- sin(nrx)} 1 O {e? sin(") } O {e" sin(nnx)}n 1 o {e * sin(") 2 n=1 O {e-2 sin(naI)}n=1 00 O {e 2" sin(")}* n=1
The eigenfunctions for y"- 2y'+ Xy = 0, y(0) = 1, y(1) = 0 are o {c² sin(nrx)} 1 00 O {e sin(")}n-1 2 o {e- sin(nrx)} 1 O {e? sin(") } O {e" sin(nnx)}n 1 o {e * sin(") 2 n=1 O {e-2 sin(naI)}n=1 00 O {e 2" sin(")}* n=1
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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![The eigenfunctions for y"- 2y' + Xy = 0,
y(0) = 1, y(1) = 0 are
o {e sin(nrx)}-1
O {e2 sin (
)}1
2
o {e- sin(nTx)} 1
o {e" sin("프)}m-1
00
O {e²
2 Jn=1
O {e2" sin(nrx)}n-1
O {e sin(")}1
2
O {e
sin(nrx)}
n=1
o {e- sin(")} 1
-2x](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F65c03363-210b-4890-a450-22c51687d230%2Fa8c1fc6b-bd4f-4a12-89a9-283859c7e15b%2F62zmbf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The eigenfunctions for y"- 2y' + Xy = 0,
y(0) = 1, y(1) = 0 are
o {e sin(nrx)}-1
O {e2 sin (
)}1
2
o {e- sin(nTx)} 1
o {e" sin("프)}m-1
00
O {e²
2 Jn=1
O {e2" sin(nrx)}n-1
O {e sin(")}1
2
O {e
sin(nrx)}
n=1
o {e- sin(")} 1
-2x
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