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anonymous
 5 years ago
1. Consider the following difference equation:
yt = 0.8yt1 + εt 0.5εt1
since the subscripts do not appear in here I will rewrite this equation in words where t = "today" and t1 = "yesterday".
y"today" = 0.8y"yesterday" + epsilon"today"  0.5epsilon"yesterday".
My assignment is to derive the homogenous and particular solutions while showing my work. Is anyone able to help with deriving the particular solution?
anonymous
 5 years ago
1. Consider the following difference equation: yt = 0.8yt1 + εt 0.5εt1 since the subscripts do not appear in here I will rewrite this equation in words where t = "today" and t1 = "yesterday". y"today" = 0.8y"yesterday" + epsilon"today"  0.5epsilon"yesterday". My assignment is to derive the homogenous and particular solutions while showing my work. Is anyone able to help with deriving the particular solution?

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Owlfred
 5 years ago
Best ResponseYou've already chosen the best response.0Hoot! You just asked your first question! Hang tight while I find people to answer it for you. You can thank people who give you good answers by clicking the 'Good Answer' button on the right!

mathteacher1729
 5 years ago
Best ResponseYou've already chosen the best response.0Click 'insert equation' to insert equations. :) Makes things a bit easier to read. :)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0y{t} = 0.8 y{t1} + ε{t} 0.5ε{t1} is epsilon a function or a standin?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0the epsilons seem to be part of another reurrsion

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I have attached a document with the assignment. I need to use the method of undetermined coefficients to solve for my particular solution..

mathteacher1729
 5 years ago
Best ResponseYou've already chosen the best response.0Video, notes, and more videos: 1) http://patrickjmt.com/methodofundeterminedcoefficients2ndorderlinearde/ 2) http://tutorial.math.lamar.edu/Classes/DE/UndeterminedCoefficients.aspx 3) http://www.khanacademy.org/video/undeterminedcoefficients1?playlist=Differential%20Equations&sort=2 Hope this helps! :D

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0well, if i recall correctly, the homogenous part is: y{t} .8y{t1} = 0 right?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0does that seem right?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I believe that the homogenous piece is y{t} = A(.8^t) where A=some arbitrary constant.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I believe that the homogenous piece is y{t} = A(.8)^t where A=some arbitrary constant

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0yeah, im used to an 'n' :) forgot to adapt for a t

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0the rest if it im not to sure about tho..... its been awhile

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Thanks for attempt. I'll keep studying..
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