elation Linear? | Constant Homogen- Coeff? (Y/N) | eous? (Y/N) Y Degree? | If Linear & constant coeff, then characteristic equation ^2-3=0 (Y/N) = 3a-2 Y 2 an-1-3 Y Y N 1 r-1=0 m= a-1 Y Y 1 NA m= an-1 +0 an-2 +2an-a Y Y ^3-r^2+0r-2=0 = an-1/n Y NA m= an-1 + an-2 +n+3 Y Y 2. r^2-r-1=0 m= 4an-2 + San-4 + 9an-7 Y Y Y 7 r^7-4r^5-5r^3-9=0 3. 1,

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Hello! I need you to be filled the table attached. I also add an example for the table. Thank you!

a. For each of these recurrence relations, fill out its row in the chart:
Linear? Constant
(Y/N)
Relation
Homogen-
Degree?
Coeff? (Y/N) eous? (Y/N)
an =2" + 3an-1
an = (n-1)an-1+3n²+4
an = an-5 + n?3"
an = an-2 + 2an-4
an = 3an-1 - 2an-2 +n+3
Transcribed Image Text:a. For each of these recurrence relations, fill out its row in the chart: Linear? Constant (Y/N) Relation Homogen- Degree? Coeff? (Y/N) eous? (Y/N) an =2" + 3an-1 an = (n-1)an-1+3n²+4 an = an-5 + n?3" an = an-2 + 2an-4 an = 3an-1 - 2an-2 +n+3
Degree? If Linear & constant coeff, then
characteristic equation
Relation
Linear? Constant
Homogen-
Coeff? (Y/N) eous? (Y/N)
(Y/N)
an = 3an-2
Y
Y
Y
2.
r^2-3=0
an = an-1- 3
Y
Y
r-1=0
an = af-1
N
Y
Y
NA
%3!
an = an-1 + 0 an-2 +2an-3
Y
Y
Y
r^3-r^2+0r-2=0
an = an-1/n
Y
Y
1
NA
an = an-1 + an-2 +n +3
Y
Y
2.
r^2-r-1=0
an = 4an-2 + 5an-4 + 9an-7
Y
Y
Y
7
r^7-4r^5-5r^3-9=0
Transcribed Image Text:Degree? If Linear & constant coeff, then characteristic equation Relation Linear? Constant Homogen- Coeff? (Y/N) eous? (Y/N) (Y/N) an = 3an-2 Y Y Y 2. r^2-3=0 an = an-1- 3 Y Y r-1=0 an = af-1 N Y Y NA %3! an = an-1 + 0 an-2 +2an-3 Y Y Y r^3-r^2+0r-2=0 an = an-1/n Y Y 1 NA an = an-1 + an-2 +n +3 Y Y 2. r^2-r-1=0 an = 4an-2 + 5an-4 + 9an-7 Y Y Y 7 r^7-4r^5-5r^3-9=0
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