Given an = an-l 3n- 3n +1 ao = 0 %3D an - an- 3n? - 3n +1 2 n³ - n3 + 3n² - 3n+1 an- and [ve+ n²- [ n3 -1² - 3n²’+3n an - An-i n3 - (n-1) (n-1) an - an-i 3 an %3D So %3D Also required solution * given the Hence selation is e currence an %3D 个
Given an = an-l 3n- 3n +1 ao = 0 %3D an - an- 3n? - 3n +1 2 n³ - n3 + 3n² - 3n+1 an- and [ve+ n²- [ n3 -1² - 3n²’+3n an - An-i n3 - (n-1) (n-1) an - an-i 3 an %3D So %3D Also required solution * given the Hence selation is e currence an %3D 个
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
Just now, I posted one question. Below is the solution of the answer. But, I am still confused why we need to add n3-n3 in the solution?
Transcribed Image Text:Given
3n¯ - 3n +1
9o = 0
%3D
an= 9n- +
an -
an-l
3n? - 3n +1
2
n³ - n³ + 3n² - 3n+1
an - an-
,?-[ n3 -1 -
3n°+ 3n
an
An-i
3
n³ - (n-1)*
3
an -
an-l
3
an
So
%3D
Also
required
Solution
f given
the
Hence
relation
re currence
3
an
%3D
![Given
an = 9n-i
3n - 3n +1
9. = 0
an - an-
3n?- 3n +1
n³ -n3 + 3n²- 3n+1
an
an-d
%3D
n²- [
n³ -?° - an°+ 3n]
an
An-1
3
n3 -
(n-1)³
%3D
an - an-
3
So
an =
Also
required
Solution
f given
the
Hence
selation
e curreme
3
an
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff2dbb325-e3ff-4d85-8e65-8786cc70fbf5%2F62c95769-d951-444d-a018-d9fd90bf125a%2F4jakl1k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Given
an = 9n-i
3n - 3n +1
9. = 0
an - an-
3n?- 3n +1
n³ -n3 + 3n²- 3n+1
an
an-d
%3D
n²- [
n³ -?° - an°+ 3n]
an
An-1
3
n3 -
(n-1)³
%3D
an - an-
3
So
an =
Also
required
Solution
f given
the
Hence
selation
e curreme
3
an
%3D
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