Show that the time delay system is a time-invariant system

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Question: 1. The input and output of the time delay system satisfy y(t) = x(t - td) where td is the delay of the system. Show that the time delay system is a time-invariant system.

2. The differentiator system is defined by the input/output relation

y(t) = dx(t)
           dt

Show that the differentiator system is both linear and time-invariant (LTI).

Reference no: EM131532449

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