Question: Problem 5 [ 1 5 + 1 0 + 2 0 = 4 5 pts ] Consider a system described by the following differential equation:

Problem 5[15+10+20=45 pts] Consider a system described by the following differential equation: 3()3+42()2+5()=2()+3() Find the followings: a) Transfer function of the system, () b) Final value of the output of the system for unit step input. Is the system BIBO stable? c) Impulse response of the system, ().

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