Question: Does a steady-state response of the differential equation exist for the following? (a) (3 ddot{x}+2700 x=20 sin 30 t) (b) (3 ddot{x}+40 dot{x}+2700 x=20 sin

Does a steady-state response of the differential equation exist for the following?

(a) $3 \ddot{x}+2700 x=20 \sin 30 t$

(b) $3 \ddot{x}+40 \dot{x}+2700 x=20 \sin 30 t$

(c) $3 \ddot{x}+2700 x=20 \sin 10 t$

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