Applications of Laplace Transform: State Space Modeling

Related lectures (30)

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

Covers difference equations, dynamic systems, linearity, and impulse response in discrete systems.

Explores linear differential equations of order n, including homogeneous and inhomogeneous equations, solutions, and linear independence.

Covers the linearization method through two examples in process control.

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

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

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

Covers the solution of linear differential equations and the concept of linearly independent solutions.

Covers solving linear inhomogeneous differential equations and finding their general solutions using the method of variation of constants.

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