Am et 1 m!' for all sufficiently small non-zero t. i. Show that ao = 1, a1 = –1/2 and find a2.
Am et 1 m!' for all sufficiently small non-zero t. i. Show that ao = 1, a1 = –1/2 and find a2.
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
2
Transcribed Image Text:et - 1
m!'
Tm-0
for all sufficiently small non-zero t.
i. Show that ao =1, a1 = –1/2 and find a2.
ii. Show that for integers n > 1,
00
1+e' +e + - - + elm -1)t – 1+ Sm (n)
where Sm (n)
= 1" +2" ++-- + (n – 1)".
iii. Show that for integers m > 0 and n > 1,
Sm (n) =
1
(m +1j!) a,, n" j+1
m+1
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