(a) You are given an LTI system. The response of the system to an input x1(t) = u(t) – u(t...

(a) You are given an LTI system. The response of the system to an input x1(t) = u(t) – u(t – 1) is a function y1(t). Write the response of the system to the input x2(t) in Figure in terms of y1(t).

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(b) You are given another LTI system with the input shown in Figure. Find the output y2(t) in terms of the system’s output, y1(t), if y1(t) is in response to the input x1(t) = u(t) + u(t – 1) — 2u(t – 2).