Exercises а, 3 4а,-1 + 5а,-2, ај — 2, аz %3 6 2, az = 6 An = 1. Solve the recurrence relation: an= ap-1+ 2an2 where a, = 2 and a, = 7 2. Solve the recurrence relation: a, = 4a1- 4an-2 where a, = a1= 1 3. Solve the recurrence relation: а, — ба,1— 9а,, where a 3D 1 and a, — 6 4. Let {a„} be a sequence that satisfies the recurrence relation an = an-1 – an-2 for n= 2, 3, 4, ... where a, = 3 and a, = 5. What are a, and a;? Hence, solve the recurrence relation. 27

Exercises а, 3 4а,-1 + 5а,-2, ај — 2, аz %3 6 2, az = 6 An = 1. Solve the recurrence relation: an= ap-1+ 2an2 where a, = 2 and a, = 7 2. Solve the recurrence relation: a, = 4a1- 4an-2 where a, = a1= 1 3. Solve the recurrence relation: а, — ба,1— 9а,, where a 3D 1 and a, — 6 4. Let {a„} be a sequence that satisfies the recurrence relation an = an-1 – an-2 for n= 2, 3, 4, ... where a, = 3 and a, = 5. What are a, and a;? Hence, solve the recurrence relation. 27

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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