Lectures related to Introduction to Linear Differential Equations

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

Differential Equations: Speed Variation Analysis

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

Differential Equations: General Solutions and Methods

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

Homogeneous Differential Equations

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

Differential Equations: Oscillatory Motion

Explores differential equations in oscillatory motion with various damping scenarios and solution methods.

Linear Differential Equations

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

Differential Equations: Solution Methods

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

One Dimensional Harmonic Oscillator

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

Separable Differential Equations

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

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.

Bernoulli Differential Equation

Explores the Bernoulli differential equation, historical context, solution methods, linear homogeneous equations, and examples.

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.

Linear Differential Equations

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

Canonical Transformations: Existence and Equations

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

Material Point Model: Basics

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

Linear Differential Equations: Order 1

Covers linear differential equations of order 1 and their solutions.

Linear Differential Equations

Covers the general solution of linear differential equations, focusing on finding particular solutions.

Solving Separable Equations

Covers the method for solving separable equations and linear homogeneous equations, as well as a simple population growth model.

Linear Differential Equations

Covers the solution of linear differential equations of the first order, both homogeneous and inhomogeneous cases.