Question: Find the steady-state solution of the differential equation. ( quad 3 ddot{x}+2700 x= begin{cases}50 sin 20 t-5 & dot{x}>0 50 sin 20 t+5 &

Find the steady-state solution of the differential equation.

\( \quad 3 \ddot{x}+2700 x= \begin{cases}50 \sin 20 t-5 & \dot{x}>0 \\ 50 \sin 20 t+5 & \dot{x}<0\end{cases}\)

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