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Determine whether the following systems are time invariant or not, $y(t)=x(t) \sin w t$

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Determine whether the following systems are time invariant or not, $y(t)=x(t) \sin w t$

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written 16 months ago by |

**Solution:**

Output due to input delayed by T seconds,

$y(t, T)=x(t-T) \sin w t$

**Output delayed by T seconds,**

$ \begin{gathered} y(t-T)=x(t-T) \sin w(t-T) \\\\ \because y(t, T) \neq y(t-T)\\ \end{gathered} \\ $

**The given system is time-variant.**

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