Consider the difference equation an+2+an+1+an = 0. (a) Write down the associated discrete linear system +1 = An- (b) Find a formula for A" and use this to give an explicit expression for an in terms of ao and a₁. [Hint: Note that A" has only 3 values.]
Consider the difference equation an+2+an+1+an = 0. (a) Write down the associated discrete linear system +1 = An- (b) Find a formula for A" and use this to give an explicit expression for an in terms of ao and a₁. [Hint: Note that A" has only 3 values.]
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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![Consider the difference equation an+2+an+1+an = 0.
(a) Write down the associated discrete linear system n+1 = An-
(b) Find a formula for A" and use this to give an explicit expression for an in terms
of ao and a₁. [Hint: Note that A" has only 3 values.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc27f9b28-1e51-4183-9cca-3f6c5cf130ab%2F09cfdcc8-020c-43df-ae9d-bfe13e29b5d0%2Fp2ukcln_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the difference equation an+2+an+1+an = 0.
(a) Write down the associated discrete linear system n+1 = An-
(b) Find a formula for A" and use this to give an explicit expression for an in terms
of ao and a₁. [Hint: Note that A" has only 3 values.]
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