Problem Calculate the response of the system 3x(t) + 12x(t) = 38(t) + cos 2t subject to initial conditions x(0) = 1 m and v(0) = 2 m/s. The units are in Newtons

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Forced undamped vibrations

In mechanical engineering, vibration is expressed as the term that occurs due to an object's backward and forward movement about a point of equilibrium. Generally, there are three types of vibrations which are,