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I. Write YES if the given is a linear homogeneous recurrence relation with constant coefficient then find its degree. Otherwise, write NO and give a reason. 1. an = 2an-1 +5a,-2 + 3a-3 2. an = 4nan-1 +An-2 3. an = an-1 +4an-4 4. an = an-1 +3 2 5. an = an-1 +An-2 II. Solve the given recurrence relations together with the initial conditions. 1. an = Tan-1 -1Oan-2. forn 2 2,a0 = 2, a1 = 1 2. аn 3D 4an-1 - 4а,-2.forn 2 2.аo %3 6,aј %3D 8

I. Write YES if the given is a linear homogeneous recurrence relation with constant coefficient then find its degree. Otherwise, write NO and give a reason. 1. an = 2an-1 +5a,-2 + 3a-3 2. an = 4nan-1 +An-2 3. an = an-1 +4an-4 4. an = an-1 +3 2 5. an = an-1 +An-2 II. Solve the given recurrence relations together with the initial conditions. 1. an = Tan-1 -1Oan-2. forn 2 2,a0 = 2, a1 = 1 2. аn 3D 4an-1 - 4а,-2.forn 2 2.аo %3 6,aј %3D 8

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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I. Write YES if the given is a linear homogeneous recurrence relation with constant coefficient then find its degree. Otherwise, write NO and give a reason. 1. an = 2an-1 +5a,-2 + 3a-3 2. an = 4nan-1 +An-2 3. an = an-1 +4an-4 4. an = an-1 +3 2 5. an = an-1 +An-2 II. Solve the given recurrence relations together with the initial conditions. 1. an = Tan-1 -1Oan-2. forn 2 2,a0 = 2, a1 = 1 2. аn 3 4an-1 -4а,-2. forn 2 2,ао %3D 6,аj 3D 8
Transcribed Image Text:I. Write YES if the given is a linear homogeneous recurrence relation with constant coefficient then find its degree. Otherwise, write NO and give a reason. 1. an = 2an-1 +5a,-2 + 3a-3 2. an = 4nan-1 +An-2 3. an = an-1 +4an-4 4. an = an-1 +3 2 5. an = an-1 +An-2 II. Solve the given recurrence relations together with the initial conditions. 1. an = Tan-1 -1Oan-2. forn 2 2,a0 = 2, a1 = 1 2. аn 3 4an-1 -4а,-2. forn 2 2,ао %3D 6,аj 3D 8
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