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Consider the nonhomogeneous linear recurrence relation an=2an-1+2n Identify the set of all solutions of the given recurrence relation using the theorem given below. If {a(o)n) is a particular solution of the nonhomogeneous linear recurrence relation with constant coefficients an=can-1+ c2an-2+ +ck³n-k+ Rn), then every solution of the form (a)+a)), where (a)n) is a solution of the associated homogeneous recurrence relation angan-1+ c2ªn-2+ +ckan-k Multiple Choice an=a(2)-1+(2)-1 an= a[2)n-1 + n(2) an=a[2) + n(2) an=a[2)" + n(2)-1

Consider the nonhomogeneous linear recurrence relation an=2an-1+2n Identify the set of all solutions of the given recurrence relation using the theorem given below. If {a(o)n) is a particular solution of the nonhomogeneous linear recurrence relation with constant coefficients an=can-1+ c2an-2+ +ck³n-k+ Rn), then every solution of the form (a)+a)), where (a)n) is a solution of the associated homogeneous recurrence relation angan-1+ c2ªn-2+ +ckan-k Multiple Choice an=a(2)-1+(2)-1 an= a[2)n-1 + n(2) an=a[2) + n(2) an=a[2)" + n(2)-1

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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Consider the nonhomogeneous linear recurrence relation an=2an-1 + 27. Identify the set of all solutions of the given recurrence relation using the theorem given below. If {a(P)n) is a particular solution of the nonhomogeneous linear recurrence relation with constant coefficients an = c₁ªn − 1 + c₂ªn − 2 +...+ckan – k+ F(n), then every solution of the form {a(P) + a(h)n), where {a(h)n solution of the associated homogeneous recurrence relation an=c₁an-1+ c2ªn-2+...+ckan - k n n} is a Multiple Choice O an= a(2) −1+ n(2) — 1 an= a(2)n-1 + n(2) an = a(2)n + n(2) an= a(2)n + n(2)n-1
Transcribed Image Text:Consider the nonhomogeneous linear recurrence relation an=2an-1 + 27. Identify the set of all solutions of the given recurrence relation using the theorem given below. If {a(P)n) is a particular solution of the nonhomogeneous linear recurrence relation with constant coefficients an = c₁ªn − 1 + c₂ªn − 2 +...+ckan – k+ F(n), then every solution of the form {a(P) + a(h)n), where {a(h)n solution of the associated homogeneous recurrence relation an=c₁an-1+ c2ªn-2+...+ckan - k n n} is a Multiple Choice O an= a(2) −1+ n(2) — 1 an= a(2)n-1 + n(2) an = a(2)n + n(2) an= a(2)n + n(2)n-1
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