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1. Consider Continuous time system y(t) = x(t) - . For the system to be linear response ax1(t) + bx2(t) should be ay1(t) + by2(t) with relation between constant 'a' and 'b' as __________ .





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  • By: guest on 02 Jun 2017 12.55 am
    Let ax1(t) + bx2(t) = m(t) where m(t) is new input which causes the output n(t) n(t) = m(t) - n(t) = {ax1(t) + bx2(t)} - add and subtract n(t) = x1(t) -a + x2(t) -b +a +b - n(t) = +{a + b - 1} n(t) = ay1(t) + by2(t) +{a + b - 1} For linearity, n(t) = ay1(t) + by2(t) ∴ {a + b - 1} = 0 ∴ a + b = 1.
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