This lesson covers the response of a system subjected to arbitrary excitation. It delves into the time response of a linear system, focusing on simple oscillator systems and systems with several degrees of freedom. The lesson explains the concept of Duhamel's integral and its application in time domain analysis for arbitrary excitation. It also discusses the response of a system to step input and the analysis of coupled systems. The lesson further explores the concept of eigenvalues and eigenvectors, and how they are used in the decoupling of system equations. An example of a two-degree freedom system is used to illustrate these concepts.

- The response of a system to arbitrary excitation can be analyzed using Duhamel's integral.
- The time response of a linear system can be focused on simple oscillator systems and systems with several degrees of freedom.
- Eigenvalues and eigenvectors play a crucial role in the decoupling of system equations.
- The response of a system to step input can be analyzed and examples can be used to illustrate these concepts.
- Understanding the concept of eigenvalues and eigenvectors is essential in the analysis of systems with several degrees of freedom.

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