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Q4) One class of pressure indicating device is represented by the following differential equation: a2dt2d2y(t)+a1dtdy(t)+a0y(t)=x(t) where y(t) is the output signal, x(t) is the measured

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Q4) One class of pressure indicating device is represented by the following differential equation: a2dt2d2y(t)+a1dtdy(t)+a0y(t)=x(t) where y(t) is the output signal, x(t) is the measured pressure, and a0,ab, and az represent the fixed constants for a particular instrument. Given that the system is initially in a steady state with x(t)=0 barg and y(t)=0 and the step change is made in x(t), so that x(t)=0.2 barg, for t>0, sketch the response curves for each of the instruments defined in Table Q4. Predict the shape of each response curve by looking at its general solution. What is your conclusion regarding the significance of parameter (zeta) where =4a2a0a1 Table Q4. Data for Second ODE

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