Lectures related to Vacuum solution (general relativity)

General Solutions of Differential Equations

Explores general solutions of differential equations with a focus on x

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.

Differential Equations: General Solutions and Methods

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

General Solutions of Differential Equations

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

General Solutions of Differential Equations

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

Method of Undetermined Coefficients

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

Electromagnetic Plane Waves

Covers the general solution for electromagnetic potentials, energy conservation, and the electric field.

General Solution of Inhomogeneous ED

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

Optical Bloch Equations

Covers the derivation and solutions of Optical Bloch Equations for a two-level quantum system.

Characteristic Polynomials: Solutions and Roots

Covers characteristic polynomials, their solutions, and roots for different types of polynomials.

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Method of variation of constants

Covers the method of variation of constants for solving differential equations.

Coupled Oscillators: General Solutions

Explores general solutions for coupled oscillators, focusing on single and N harmonic oscillators, eigenmodes, and initial conditions.

Linear Differential Equations: Homogeneous and Separable

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

Population Growth and Temperature Variation

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

Cauchy Problem: General Solution

Covers the general solution of Cauchy problems in first-order differential equations.

Introduction to Plasma Physics

Covers the dynamics of particles in electric and magnetic fields in plasma physics.

Variation of Constants in Differential Equations

Explains the method of variation of constants in differential equations and its application in finding particular solutions.

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.