Linear time-invariant systems (LTIS) are mathematical models that describe systems where the output response to any input is directly proportional and remains consistent over time, given that the input is applied. These systems are characterized by their linearity, meaning that the principle of superposition applies, and their time-invariance, indicating that the behavior of the system does not change over time. LTIS are fundamental in understanding and solving differential equations in engineering applications, especially in analyzing dynamic systems.
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