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{\bf Question}

An oscillator is described by the equations $$ \dot x =
v\qquad16\dot v =-8 v -x $$ Calculate the solution of the equation
and sketch the graphs of $x(t)$ for the following initial
conditions
\begin{enumerate}
\item $x(0)=4 \quad v(0)=0$
\item $x(0)=4 \quad v(0)=-5$
\end{enumerate}
Determine whether the system, under-damped, critically damped or
over-damped.



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{\bf Answer}

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