Lectures related to Modeling Dynamic Systems: Definitions and Examples

Covers the formalism and bases of dynamic systems, including differential equations and non-linear systems.

Explores linearly independent solutions in quadratic equations and the role of constants in trigonometric solutions.

Explores the resolution of differential equations and the properties of exponential functions in electrical engineering.

Explores ordinary differential equations, including general solutions, separate variables, order, linearity, and proof methods.

Covers linear homogeneous second order differential equations and their solutions, including the concept of the Wronskian.

Covers second-order linear homogeneous differential equations and their solutions.

Explores properties and solutions of scalar linear higher order ODEs with x-dependent coefficients and constant coefficients.

Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.