Y(S) U(S) к 1+s The transfer function of a low-pass filter is G(s) = The input to the filter is u(t) = sin 3t, -60

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Y(S) U(S) к 1+s The transfer function of a low-pass filter is G(s) = The input to the filter is u(t) = sin 3t, -60 <t<. If your student ID last digit number is an even number, your K value in G(s) is K = 2. Using the partial fraction expansion approach, derive the filter output y(t) that contains both the transient response and the steady-state response. If your student ID last digit number is an odd number, your K value in G(s) is K = 4. Using the partial fraction expansion approach, derive the filter output y(t) that contains both the transient response and the steady-state response. Hint: You are aware of Euler's identities: eje+e-je eje-e-je = cos O and = sin e 2 2]