Determine the functions yh(t) and yp(t) associated with each of the following first order linear difference equations Also obtain the time path yt that satisfies the initial condition

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Determine the functions yh(t) and yp(t) associated with each of the following
first order linear difference equations

Also obtain the time path yt that satisfies the initial condition
y0 = 4, y0 = 7, y0 = 4 respectively. Analyze the nature of the time trajectory obtained for each equation
obtained for each equation is Convergent or Divergent.

(a) yt+1 + 3y = 4
(b) 2yt+1 - Yt = 6
(c) Yt+1 = 0.2y +4
Transcribed Image Text:(a) yt+1 + 3y = 4 (b) 2yt+1 - Yt = 6 (c) Yt+1 = 0.2y +4
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