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Question: exercise 5 15 pts a find the complete timedomain solution...

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Exercise 5 (15 pts): (a) Find the complete time-domain solution y(t) for the rational algebraic output transform Y(s): s +3 S +3 3+ 2s+4)3s +2) (+3s +2) (b) What are the modes of the response y(t)? Exercise 6 (25 pts): Given the following linear ODE system with measurement eqn: x=10 0 11x+101 x(0) =0 6 5 -2 (a)Name the state variables and parameters (b)How many eigenvalues (roots of the characteristic eqn)? Why? What are their values? (c) Derive the model I-O transfer function (d) Ifu(t) is a unit-step function, find the output y(t) (e) What are the response modes? (f)What are the steady state and transient responses? (g)Draw a simulation block diagram for this system. Designate u, x, x2, x3 and y on the diagram.

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