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System represented by equation
y(t + 4) + 2y(t) = x(t + 2) is:
(i) causal
(ii) linear
(iii) time invariant
The correct statements are—
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- (i) and (ii) only
- (ii) and (iii) only
- (i) and (iii) only
- All of these
Correct Option: D
Given equation y(t + 4) + 2y(t) = x(t + 2)
● is causal since output at any instant of time depends only on present and past values of there input signal.
● is linear since there is no constant term in the given equation.
● is time invariant since there is no any time factor in the given equation.
Hence, alternative (D) is the correct choice.