Question #200643

Find the following system are Linear or non-linear

1. Y(t)= X(t-2)+X(2-t)

2. Y(t)=t^2 X(t-1)

Expert's answer

a) The system is linear because if

then the output y(t) corresponding to the input x(t) is

b) The system is linear because if

and x(t) = αx1(t) + βx2(t), then the output y(t) corresponding to the input x(t) is

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