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Problem 1 (36points): Evaluate the time domain response y(t) of the following Ordinal Differential Equation by answering following step-by-step questions. Show all works. Use the provided Laplace table. ) Evaluate the frequency domain response Y(s) for the given problem.Make sure to expand Numerator and Denominator! (14 points) O Apply the Partial-Fraction-Expansion Theorem to Y(s) evaluated in O Set up the equation of motion (in time domain) for each part. Convert the equation of motions from 2) into frequency domain relation. Assume system started with no velocity and no acceleration. (8points) ) Evaluate the frequency domain transfer function . 3) Evaluate the time domain response y(t) by applying proper transformation to Y(s) from 2).

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