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Consider the differential equation below: y(t)=y(t)+2u(t)+u(t) (a) Compute the transfer function G(s) relating Y(s) and U(s). (b) For u(t)=1(t), compute Y(s). (c) Use partial fraction

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Consider the differential equation below: y(t)=y(t)+2u(t)+u(t) (a) Compute the transfer function G(s) relating Y(s) and U(s). (b) For u(t)=1(t), compute Y(s). (c) Use partial fraction expansion to compute y(t) for u(t)=1(t). (d) Plot y(t) and compare with MATLAB

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