A dynamic system is governed by (4 ddot{y}+8 dot{y}+3 y=f(t)), where (f) and (y) are the system

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A dynamic system is governed by \(4 \ddot{y}+8 \dot{y}+3 y=f(t)\), where \(f\) and \(y\) are the system input and output, respectively. Derive the state-space form of the decoupled system.

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