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Is the following difference equation of order 3$?$ Explain. $y_{k+3}+5 y_{k+2}+6 y_{k+1}=0$

2

Calculus 3

Chapter 4

Vector Spaces

Section 8

Applications to Difference Equations

Vectors

Johns Hopkins University

Campbell University

Baylor University

University of Michigan - Ann Arbor

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way. Want to look? Find the order off this discreet regulation. Now, as we know from theory, the order off the discredit creation is the difference off the highest you dicks to the lowest index. But any three is here is a perimeter. So if it is no zero, then we immediately have that. The order is three, cause we have K plus three minus G sequence three. Now, if a three they're called zero Oh, just to fix this three, then we proceed with a difference off. You're a blustery and your plus one. And the difference is too if a two is not zero because okay, plus reminders. Okay, less one that close. Go now if a door he's zero. Then again, the difference with the order of vacation will be the difference Off the fire started their toe toe the next. So the first Norman reveal or their, uh their toe to the order off the third off the first non trivial term. Then if a one is not zero, then the corresponding or there is one. Otherwise, we have the correspondent thing or there is zero minutes. Otherwise, we have why gay plus three queens zero with which would later toe like a a quint zero, which is review

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