Differential and Difference Equations

About
Privacy
Disclaimer

Graph Chatbot

Related lectures (30)

Page 1 of 3

LTI Systems Properties

Covers the properties of Linear Time-Invariant (LTI) systems and their implications.

Difference Equations: Roots and Solutions

Explores characteristic polynomials, stability conditions, homogeneous solutions, and transfer functions in difference equations.

Laplace Transform Application: LTI Systems

Covers the application of Laplace transform to LTI Systems, including examples and differential equations.

Fourier Transform: LTI Systems

Explores the Fourier transform application to LTI systems, including frequency response, convolution, differentiation, and solving differential equations.

Differential Equations: Speed Variation Analysis

Covers the analysis of speed variation using differential equations and small time intervals.

Numerical Analysis: Stability in ODEs

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

Homogeneous Differential Equations

Explores solving first-order homogeneous differential equations through variable changes and delves into the Bernoulli differential equation.

Partial Fraction Expansion

Introduces Partial Fraction Expansion as a valuable tool for analyzing stable LTI systems.

Differential Equations and System Composition

Covers Laplace transform for LTI systems and system composition.

Canonical Transformations: Existence and Equations

Explores canonical transformations, focusing on existence, equations, simplicity, and differential equations' theory.