2.27 Determine the particular solution of the difference equation 5 y(n) = y(n − 1) − − y(n − 2) + x(n) when the forcing function is x(n) = 2"u(n) assume that y(-2) = y(-1) = 0.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 2E
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2.27 Determine the particular solution of the difference equation
5
y(n) = − y(n − 1) − ² y(n − 2) + x(n)
when the forcing function is x(n) = 2"u(n).
assume that y(-2) = y(-1) = 0.
/J-------4X7
2.30 Determine the response y(n), n ≥ 0, of the system described by the second-order
difference equation
y(n) - 3y(n-1) - 4y(n − 2) = x(n) + 2x(n-1)
to the input x(n) = 4"u(n).
assume that y(-2)= y(-1) = 0.
Transcribed Image Text:2.27 Determine the particular solution of the difference equation 5 y(n) = − y(n − 1) − ² y(n − 2) + x(n) when the forcing function is x(n) = 2"u(n). assume that y(-2) = y(-1) = 0. /J-------4X7 2.30 Determine the response y(n), n ≥ 0, of the system described by the second-order difference equation y(n) - 3y(n-1) - 4y(n − 2) = x(n) + 2x(n-1) to the input x(n) = 4"u(n). assume that y(-2)= y(-1) = 0.
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