Problem 7.5 Solve the recurrence relation An 6an-1 +9an-2=0 for n ≥ 2 where ao = 5 and a₁ - 12.
Problem 7.5 Solve the recurrence relation An 6an-1 +9an-2=0 for n ≥ 2 where ao = 5 and a₁ - 12.
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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Question
Transcribed Image Text:Problem 7.5 Solve the recurrence relation
an 6an-1 +9an-2=0
for n ≥ 2 where ao = 5 and a₁
-
12.
Expert Solution
Step 1
Let us consider the recursion relation
To get the solution
- Find the auxiliary equation by taking as the solution.
- Find the roots of the equation.
- The linear combination of the roots will be the general solution.
Step by step
Solved in 2 steps
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