Lectures related to Semi-groups of Contractions

Linear Homogeneous Second Order Equations

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

Linear Independence: The Wronskian Concept

Explains the Wronskian and its role in determining linear independence of solutions to differential equations.

Linear Independence: The Wronskian Concept

Explains the Wronskian and its role in determining linear independence of solutions to differential equations.

General Solution of Homogeneous Second Order Linear Differential Equations

Covers the general solution of homogeneous second-order linear differential equations with constant coefficients and the concept of linear independence of solutions.

Ordinary Differential Equations

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

Linear Homogeneous Equations

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

Differential Equations: Solution Methods MOOC: Electrical engineering II

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

Linear Differential Equations: Second Order Solutions

Covers second-order linear differential equations, focusing on their solutions and the concept of linear independence among them.

Advanced Analysis: Differential Equations Overview

Covers the fundamentals of differential equations, their properties, and methods for finding solutions through various examples.

Modeling Dynamic Systems: Definitions and Examples

Covers the modeling of dynamic systems, including definitions, examples, and linearization processes for easier analysis.

Scalar Linear Higher Order ODEs: Properties and Solutions

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

Advanced Analysis: Differential Equations Overview

Provides an overview of differential equations, their properties, and methods for finding solutions through various examples and graphical representations.

Linear Differential Equations: Solutions and Wronskian

Covers linear differential equations, focusing on solutions, the Wronskian, and methods for solving non-homogeneous equations.

Differential Equations: Solutions and Periodicity Log in to Mediaspace to watch this video

Explores dense sets, Cauchy sequences, periodic solutions, and unique solutions in differential equations.

Homogeneous Solutions: Linear Independence Log in to Mediaspace to watch this video

Explores finding particular solutions for homogeneous differential equations, emphasizing linear independence and variation of constants.

Taylor Polynomials: Correction Exam 2018 Log in to Mediaspace to watch this video

Covers the correction of an exam from 2018, focusing on Taylor polynomials and Jacobian matrices.

Linear Differential Equations Log in to Mediaspace to watch this video

Covers linear differential equations of order n with constant coefficients and how to find their general solutions.

General Solution of Inhomogeneous ED Log in to Mediaspace to watch this video

Covers the general solution of inhomogeneous differential equations and explores linear dependence, uniqueness theorems, and second-order equations.

Fourier Transform: Concepts and Applications Log in to Mediaspace to watch this video

Covers the Fourier transform, its properties, applications in signal processing, and differential equations, emphasizing the concept of derivatives becoming multiplications in the frequency domain.

Distributions and Derivatives Log in to Mediaspace to watch this video

Covers distributions, derivatives, convergence, and continuity criteria in function spaces.