6. Solve the recurrence relation an = -5a-1 + 6an-2,

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Q6 

1. [BB] Solve the recurrence relation an = an-1 + 6an-2,
n≥ 2, given ao = 1, a₁ = 3.
=
-6an-1 + 7an-2,
2. Solve the recurrence relation an
n ≥ 2, given ao = 32, a₁ = -17.
3. [BB] Solve the recurrence relation an
6an-1-9an-2,
n ≥ 2, given ao = -5, a₁ = 3.101 sidizzo d
4. Solve the recurrence relation an+1 = 7an-10an-1, n ≥ 2,
given a₁ = 10, a2 = 29.
5. [BB] Solve the recurrence relation an = -8an-1-an-2,
n≥ 2, given ao = 0; a₁ = 1.
6. Solve the recurrence relation an = -5a-1 + 6an-2,
n ≥ 2, given ao = 5, a₁ = 19.
7. [BB] Solve the recurrence relation
n ≥ 1, given ao = 0, a₁ = 8.
8. Solve the recurrence relation an =
given ao = 40, a₁ = 37.
9. Solve the recurrence relation 9an =
given ao = 3, a₁ = -1.
10. (a) [BB] Solve the recurrence re
15an-2, n ≥ 2, given ao = 1,
(b) [BB] Solve the
recurrence
re
ao
15an-2 +24, n ≥ 2, given
Transcribed Image Text:1. [BB] Solve the recurrence relation an = an-1 + 6an-2, n≥ 2, given ao = 1, a₁ = 3. = -6an-1 + 7an-2, 2. Solve the recurrence relation an n ≥ 2, given ao = 32, a₁ = -17. 3. [BB] Solve the recurrence relation an 6an-1-9an-2, n ≥ 2, given ao = -5, a₁ = 3.101 sidizzo d 4. Solve the recurrence relation an+1 = 7an-10an-1, n ≥ 2, given a₁ = 10, a2 = 29. 5. [BB] Solve the recurrence relation an = -8an-1-an-2, n≥ 2, given ao = 0; a₁ = 1. 6. Solve the recurrence relation an = -5a-1 + 6an-2, n ≥ 2, given ao = 5, a₁ = 19. 7. [BB] Solve the recurrence relation n ≥ 1, given ao = 0, a₁ = 8. 8. Solve the recurrence relation an = given ao = 40, a₁ = 37. 9. Solve the recurrence relation 9an = given ao = 3, a₁ = -1. 10. (a) [BB] Solve the recurrence re 15an-2, n ≥ 2, given ao = 1, (b) [BB] Solve the recurrence re ao 15an-2 +24, n ≥ 2, given
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