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Exercise 6. Given the following recurrence relation (M). a, = 6a,-1 - 12a,-2 + 8a,-3 + n3" Knowing that the solution of the associated homogenous equation is a, = a2" + Bn2" + yn 2". What form does a particular solution of (M) have? a (An + B)3" b. An3" C. A3" d. An'3"

Exercise 6. Given the following recurrence relation (M). a, = 6a,-1 - 12a,-2 + 8a,-3 + n3" Knowing that the solution of the associated homogenous equation is a, = a2" + Bn2" + yn 2". What form does a particular solution of (M) have? a (An + B)3" b. An3" C. A3" d. An'3"

Advanced Engineering Mathematics
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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Exercise 6. Given the following recurrence relation (M). a, = 6a-1 - 12a,n-2 + 8a,-3 + n3" Knowing that the solution of the associated homogenous equation is a, = a2" + Bn2" + yn 2". What form does a particular solution of (M) have? a. (An + B)3" b. An3" c. A3" d. An 3"
Transcribed Image Text:Exercise 6. Given the following recurrence relation (M). a, = 6a-1 - 12a,n-2 + 8a,-3 + n3" Knowing that the solution of the associated homogenous equation is a, = a2" + Bn2" + yn 2". What form does a particular solution of (M) have? a. (An + B)3" b. An3" c. A3" d. An 3"
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