Lecture

Differential and Difference Equations

Description

This lecture covers the concepts of differential and difference equations for causal LTI systems, including continuous-time systems described by linear constant coefficient differential equations and discrete-time systems described by linear constant coefficient difference equations. Examples of RC circuits and vehicle motion are used to illustrate these concepts, emphasizing the relationship between input force and output velocity. The lecture also discusses particular and homogeneous solutions, recursive equations, and the need for auxiliary conditions in solving these equations.

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