A cosine forcing function is a type of nonhomogeneous term in a differential equation that is expressed as a cosine function, typically in the form of $A \cos(\omega t + \phi)$, where $A$ represents the amplitude, $\omega$ is the angular frequency, and $\phi$ is the phase shift. This type of forcing function influences the behavior of the system described by the differential equation, introducing oscillatory solutions that can lead to resonance phenomena when matched with the natural frequency of the system.
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