(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!

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Time Invariance of a System

**Physics Forums | Science Articles, Homework Help, Discussion**