Lectures related to Delay differential equation

Differential Equations: Speed Variation Analysis

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

Addition of Springs: General Physical Exercises I

Covers the addition of springs in series and parallel, exploring equivalent movements.

One Dimensional Harmonic Oscillator

Explores the one-dimensional harmonic oscillator, equilibrium positions, and forced oscillators with external forces.

Linear Differential Equations

Explores solving linear differential equations and the principle of superposition with illustrative examples.

Material Point Model: Basics

Covers the material point model, initial conditions, and Newton's laws in physics.

Advanced Analysis II: Differential Equations and Timers

Discusses advanced analysis concepts, focusing on differential equations and timers in microcontrollers.

Linear Differential Equations

Explores linear differential equations, including higher-order linear homogeneous equations and equations with constant coefficients.

Differential Equations: General Solutions and Methods

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

Physics Mini-Test: Trajectory Analysis

Explores the analysis of a ball's trajectory in contact with a beam, focusing on forces, angles, and motion equations.

Differential Equations: Solution Methods

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

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.

Cauchy-Euler Equations

Covers the definition and solution of Cauchy-Euler equations, which are second-order differential equations with specific form and solutions.

High Order Methods: Space Discretisation

Covers high order methods for space discretisation in linear differential systems.

Separable Differential Equations

Covers separable differential equations of order 1, defining separable equations and providing examples.

Ordinary Differential Equations

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

Oscillations libres, ressort

Explores free undamped oscillations in a harmonic oscillator and their graphical representation over time.

Taylor Polynomials: Correction Exam 2018

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

Differential Equations Solutions

Covers solutions of differential equations with initial conditions and boundedness concepts.

Vertical Metronome: Equilibrium and Stability

Explores equilibrium and stability of a vertical metronome system with springs.

Direction Fields, Euler Methods, Differential Equations

Explores direction fields, Euler methods, and differential equations through practical exercises and stability analysis.