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Determine whether the following systems are time invariant or not, y(t)=x(t)sinwt
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Solution:

Output due to input delayed by T seconds,

y(t,T)=x(tT)sinwt

Output delayed by T seconds,

y(tT)=x(tT)sinw(tT)y(t,T)y(tT)

The given system is time-variant.

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