Find the total solution to the following difference equations: 1 (a) y(n) + 승y(n-1)-y(n-2) = x(m) + 글x(n- 1), n20 %3D 3nT if y(-1) = 1, y(-2) = 0, x(n) = 2 cos 4. and

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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6.19. Find the total solution to the following difference equations:
1
(a) y(n) +y(n – 1) -y(n – 2) = x(n) +x(n – 1),
3nT
if y(-1) = 1,
x(n) = 2 cos
4
y(-2) = 0,
and
1
(b) y(n) +y(n – 1) = x(n)
u(n)
if
y(-1) = 0
and
1
(c) y(n) +y(n – 1) = x(n)
x(n) =
if
y(-1) = 1
and
и (п)
8
(d) y(n) + 유y(n-1) +y(n-2)=x(n),
if y(-1) = y(-2) = 1
x(n) = )
and
(e) y(n + 2) – y(n + 1) -(m) = x(n) + x(n
n20
if y(1) = y(0) = 0
x (n) = ()
and
Transcribed Image Text:6.19. Find the total solution to the following difference equations: 1 (a) y(n) +y(n – 1) -y(n – 2) = x(n) +x(n – 1), 3nT if y(-1) = 1, x(n) = 2 cos 4 y(-2) = 0, and 1 (b) y(n) +y(n – 1) = x(n) u(n) if y(-1) = 0 and 1 (c) y(n) +y(n – 1) = x(n) x(n) = if y(-1) = 1 and и (п) 8 (d) y(n) + 유y(n-1) +y(n-2)=x(n), if y(-1) = y(-2) = 1 x(n) = ) and (e) y(n + 2) – y(n + 1) -(m) = x(n) + x(n n20 if y(1) = y(0) = 0 x (n) = () and
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