(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Determine if the following system is time invariant:

y(t) = x(t - 2) + x(2 - t)

2. The attempt at a solution

I know from the solutions that the system is NOT time invariant, yet whenever I try to solve it I get the opposite result. Here's what I'm doing:

y1(t) = x1(t - 2) + x1(2 - t)

x2(t) = x1(t - t0)

y2(t) = x2(t - 2) + x2(2 - t) = x1(t - t0 - 2) + x1(2 - t + t0)

y1(t - t0) = x1(t - t0 - 2) + x1(2 - t + t0)

Therefore y2(t) = y(t - t0)

What am I doing wrong?

Thanks!

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# Time Invariance of a System

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