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Question: The dynamic response of a system is given by the following differential equation :d<sup>3</sup>a<sub>3</sub> ((d^3 c(t))/(dt^3 )) +  a<sub>2</sub>  ((d^2 c(t))/(dt^2 ))+ a<sub>1</sub> (dc(t)/dt) + a<sub>0</sub>c(t)= b<sub>2</sub> ((d^2 r(t))/(dt^2 ))+ b<sub>1</sub> (dr(t)/dt) + b<sub>0</sub>r(t) Where c(t) and r(t) are respectively the output and input and a<sub>3,</sub> a<sub>2,</sub> a<sub>1,</sub> a<sub>0,</sub> b<sub>2,</sub> b<sub>1,</sub> b<sub>0 </sub>are constants. It is a :

Answer:

MCQ: The dynamic response of a system is given by the following differential equation :d<sup>3</sup>a<sub>3</sub> ((d^3 c(t))/(dt^3 )) +  a<sub>2</sub>  ((d^2 c(t))/(dt^2 ))+ a<sub>1</sub> (dc(t)/dt) + a<sub>0</sub>c(t)= b<sub>2</sub> ((d^2 r(t))/(dt^2 ))+ b<sub>1</sub> (dr(t)/dt) + b<sub>0</sub>r(t) Where c(t) and r(t) are respectively the output and input and a<sub>3,</sub> a<sub>2,</sub> a<sub>1,</sub> a<sub>0,</sub> b<sub>2,</sub> b<sub>1,</sub> b<sub>0 </sub>are constants. It is a :

Correct Answer: A. Non-linear system

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