Lectures related to Ordinary Linear 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.

Method of Undetermined Coefficients

Explores the method of undetermined coefficients for solving non-homogeneous linear differential equations with constant coefficients.

Ordinary Differential Equations: Second Order Linear Inhomogeneous

Covers the resolution of second-order linear ordinary differential equations with constant coefficients and a source term.

Ordinary Differential Equations: Second Order

Covers the resolution of linear ordinary differential equations of the second order with constant coefficients and a source term.

Ordinary Differential Equations: Second Order

Explores the resolution of second-order linear ODEs with constant coefficients and various source terms.

Ordinary Differential Equations

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

Canonical Transformations: Existence and Equations

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

Linear Differential Equations Log in to Mediaspace to watch this video

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

One Dimensional Harmonic Oscillator Log in to Mediaspace to watch this video

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

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

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

Separable Differential Equations Log in to Mediaspace to watch this video

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

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.

Population Growth and Temperature Variation Log in to Mediaspace to watch this video

Explores population growth models and temperature variation equations, focusing on differential equations and solution methods.

Linear Differential Equations: Homogeneous and Separable Log in to Mediaspace to watch this video

Covers linear differential equations of order 1, focusing on homogeneous and separable equations.

Solving Separable Equations Log in to Mediaspace to watch this video

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

General Solutions of Differential Equations Log in to Mediaspace to watch this video

Explores general solutions of differential equations, emphasizing homogeneous and inhomogeneous equations and the process of finding solutions.

Fluid Friction Forces Log in to Mediaspace to watch this video

Explores fluid friction forces, including laminar and turbulent flow, viscosity, and terminal velocity calculation.

Homogeneous Differential Equations Log in to Mediaspace to watch this video

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

Differential Equations: Speed Variation Analysis Log in to Mediaspace to watch this video

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

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.