Consider the recurrence relation ak = −8ak−1 − 15ak−2 with initial conditions a0 = 0 and a1 = 2. Which of the following is an explicit solution to this recurrence relation? a) ak = (−3)k − (−5)k b) ak = k(−3)k − k(−5)k c) ak = k(−3)k − (−5)k d) ak = k(−5)k − k(−3)k
Consider the recurrence relation ak = −8ak−1 − 15ak−2 with initial conditions a0 = 0 and a1 = 2. Which of the following is an explicit solution to this recurrence relation? a) ak = (−3)k − (−5)k b) ak = k(−3)k − k(−5)k c) ak = k(−3)k − (−5)k d) ak = k(−5)k − k(−3)k
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 recurrence relation ak = −8ak−1 − 15ak−2 with initial conditions a0 = 0 and a1 = 2. Which of the following is an explicit solution to this recurrence relation?
a) ak = (−3)k − (−5)k |
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b) ak = k(−3)k − k(−5)k
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c) ak = k(−3)k − (−5)k |
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d) ak = k(−5)k − k(−3)k |
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