Determine the natural response of the system: Difference equation is
y(n)-y(n-1)-2y(n-2)=x(n) and y(-1) = 1; y(-2) = 0

Question

Determine the natural response of the system: Difference equation isy(n)-y(n-1)-2y(n-2)=x(n) and y(-1) = 1; y(-2) = 0

TuteeHUB · Accepted Answer

y_h (n) = ( frac{4}{3} ) (2)ⁿ ( frac{1}{3} ) (2)ⁿ

TuteeHUB · Answer

yh (n) =   (  frac{4}{3}  ) (1)n     (  frac{1}{3}  ) (-1)n

TuteeHUB · Answer

yh (n) =   (  frac{4}{3}  ) (-1)n     (  frac{1}{3}  ) (-1)n

TuteeHUB · Answer

yh (n) =   (  frac{4}{3}  ) (2)n     (  frac{1}{3}  ) (-1)n

TuteeHUB · Answer

yh (n) =   (  frac{4}{3}  ) (2)n     (  frac{1}{3}  ) (2)n

1.	Determine the natural response of the system: Difference equation is y(n)-y(n-1)-2y(n-2)=x(n) and y(-1) = 1; y(-2) = 0
A.	y<sub>h</sub> (n) = ( frac{4}{3} ) (1)<sup>n</sup> ( frac{1}{3} ) (-1)<sup>n</sup>
B.	y<sub>h</sub> (n) = ( frac{4}{3} ) (-1)<sup>n</sup> ( frac{1}{3} ) (-1)<sup>n</sup>
C.	y<sub>h</sub> (n) = ( frac{4}{3} ) (2)<sup>n</sup> ( frac{1}{3} ) (-1)<sup>n</sup>
D.	y<sub>h</sub> (n) = ( frac{4}{3} ) (2)<sup>n</sup> ( frac{1}{3} ) (2)<sup>n</sup>
Answer» D. y<sub>h</sub> (n) = ( frac{4}{3} ) (2)<sup>n</sup> ( frac{1}{3} ) (2)<sup>n</sup>

Discussion