Lecture

Linear differential equations

Related lectures (29)

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Covers the general solution of homogeneous second-order linear differential equations with constant coefficients and the concept of linear independence of solutions.

Homogeneous Solutions: Linear Independence

Explores finding particular solutions for homogeneous differential equations, emphasizing linear independence and variation of constants.

General Solution of Inhomogeneous ED

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

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

Linear Differential Equations: Solution Methods

Covers solution methods for linear differential equations of second order 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.

Linear Independence: The Wronskian Concept

Explains the Wronskian and its role in determining linear independence of solutions to differential equations.

Solutions of Homogeneous Linear Differential Equations

Covers the solutions of homogeneous linear differential equations and how to find linearly independent solutions.

Linear Differential Equations

Covers second-order linear differential equations and their solutions, including the method of variation of constants.

Scalar Linear Higher Order ODEs: Properties and Solutions

Explores properties and solutions of scalar linear higher order ODEs with x-dependent coefficients and constant coefficients.

Linear Homogeneous Equations

Covers second-order linear homogeneous differential equations and their solutions.

Linear Independence: The Wronskian Concept

Explains the Wronskian and its role in determining linear independence of solutions to differential equations.

Linear Differential Equations

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

Linear Independence and Basis

Explains linear independence, basis, and matrix rank with examples and exercises.

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

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Advanced Analysis II: Second Order Linear Differential Equations

Covers second order linear differential equations, focusing on solution construction and the concept of linear independence among solutions.

Method of Undetermined Coefficients

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

Linear Homogeneous Second Order Equations

Covers linear homogeneous second order differential equations and their solutions, including the concept of the Wronskian.