A steady-state solution refers to the condition in a dynamic system where the system's behavior becomes constant over time after initial transients have dissipated. In this state, all variables remain unchanged, meaning that the inputs and outputs of the system balance each other out, resulting in stable performance. This concept is especially relevant when analyzing both homogeneous and non-homogeneous solutions, as it allows for understanding how systems respond to constant inputs after transient behaviors have settled down.
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