The input x(t) and output y(t) of a system are related as y(t) = \int _{−\infty}^{t}x(\tau )\cos(3\tau )d\tau . The system is

Correct Answer is : not time-invariant and not stable

not time-invariant and not stable

GATE Electronics and Communications (EC) 2012 Solved Paper

Question : 39 of 65

Marks: +1, -0

The input x(t) and output y(t) of a system are related as

y(t) = ∫ _{−∞}^{t}x(τ )cos(3τ )dτ .

The system is

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