Question: Problem 1. Consider the following first order dynamic system described by the differential equation 5dtdn(t)+n(t)=0.35u(t)+d(t) where n(t),u(t) and d(t) are respectively the output, manipulated input

Problem 1. Consider the following first order dynamic system described by the differential equation 5dtdn(t)+n(t)=0.35u(t)+d(t) where n(t),u(t) and d(t) are respectively the output, manipulated input and disturbance of the process in deviation variable form. The initial condition of the system is n(0)=0 The system is subjected to a rectangular pulse function of the manipulated variable, described by the following equation u(t)=042t
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