Consider the nonhomogeneous linear recurrence relation a, = 3a,-1+2" (a) Show that a, = -2"+1 is a solution of this recurrence relation. (b) Find all the solutions of this recurrence relation. (c) Find the solution with ao = 1.
Consider the nonhomogeneous linear recurrence relation a, = 3a,-1+2" (a) Show that a, = -2"+1 is a solution of this recurrence relation. (b) Find all the solutions of this recurrence relation. (c) Find the solution with ao = 1.
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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Transcribed Image Text:8. Consider the nonhomogeneous linear recurrence relation a, =
За, -1 + 2"
(a) Show that a,
-2n+1 is a solution of this recurrence relation.
(b) Find all the solutions of this recurrence relation.
(c) Find the solution with ao = 1.
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