Question: A dynamic system is modeled as [4 ddot{x}+c dot{x}+5 x=0, quad x(0)=1, quad dot{x}(0)=0] Plot (in the same graph) the system's free response associated with

A dynamic system is modeled as

\[4 \ddot{x}+c \dot{x}+5 x=0, \quad x(0)=1, \quad \dot{x}(0)=0\]

Plot (in the same graph) the system's free response associated with $c=4,5$, and comment.

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