Lectures related to Linear Differential Equations

Differential Equations: General Solutions and Methods

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

One Dimensional Harmonic Oscillator

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

Population Growth and Temperature Variation

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

Separable Differential Equations

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

Linear Differential Equations

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

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.

General Solutions of Differential Equations

Explores general solutions of differential equations with a focus on x

Solving Separable Equations

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

Differential Equations: Speed Variation Analysis

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

Linear Second Order ODEs

Covers the solution of linear second order ODEs with constant coefficients and explores the method of variation of parameters.

Linear Differential Equations of Higher Order

Revises linear differential equations with constant coefficients of higher order and their geometric interpretation.

Linear Differential Equations: Homogeneous and Separable

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

General Solutions of Differential Equations

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

Linear Differential Equations

Covers linear differential equations of higher order, defining them as linear if they can be rewritten in a specific form.

Linear Differential Equations

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

Method of Undetermined Coefficients

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

Linear Differential Equations: Second Order with Constant Coefficients

Covers the definitions and solutions of linear differential equations of the second order with constant coefficients.

Numerical Analysis: Stability in ODEs

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

Ordinary Differential Equations: Second Order Linear Inhomogeneous

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

General Solutions of Differential Equations

Covers general solutions of differential equations, focusing on particular and homogeneous solutions.