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In this control systems problem, we are given the transfer function of an LTI system, and the objective is to find the input/output relationship. The transfer function 𝐺(𝑠) of an LTI system is its gain: the ratio of output to input in the frequency domain: 𝐺(𝑠) = 𝑌(𝑠) / 𝑋(𝑠). By cross multiplying and expanding the ...
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