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System represented by equation y′′(t) – 2t y′(t) = x(t) is—
(i) Causal
(ii) Dynamic
(iii) Non-linear
(iv) Time invariant
The correct statements are—
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- (ii) and (iii) only
- (i) and (ii) only
- (i), (ii) and (iii) only
- (i), (ii) and (iv) only
Correct Option: B
The given system equation
y′′(t) – 2t y′(t) = x(t)
● is causal since output depends only on present and past value of the input.
● is dynamic since the I/O relation of system is an integrate-differential equation.
● is linear since there is no constant and square terms in the equation.
● is time variant since there is time factor t in the given system equation.
Hence, alternative (B) is the correct choice.
