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5. Find the solution to an 2аn-1 + 5а,-2 — бал-з with ао %3D 7, a1 = -4, and a2 = 8.

5. Find the solution to an 2аn-1 + 5а,-2 — бал-з with ао %3D 7, a1 = -4, and a2 = 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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5. Find the solution to an 2ал-1 + 5ал-2 — бал-з with aо %3D 7, ај %3D — 4, аnd az %3D 8. %3|
Transcribed Image Text:5. Find the solution to an 2ал-1 + 5ал-2 — бал-з with aо %3D 7, ај %3D — 4, аnd az %3D 8. %3|
Expert Solution
Step 1

Given recurrence relation

an=2an-1 +5an-2-6an-3    with a0=7,a1=-4,and a2=8

To determine the general solution

an = A1(α1)n+A2(α2)n+A3(α3)3+........

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