Find the response of a critically damped single-degree-of-freedom system subjected to a step force with the equation
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Find the response of a critically damped single-degree-of-freedom system subjected to a step force with the equation of motion
\[2 \ddot{x}+8 \dot{x}+8 x=5\]
Assume the initial conditions as \(x_{0}=1\) and \(\dot{x}_{0}=2\).
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