Homogeneous Differential Equations

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

Orthogonal/Orthonormal Bases and Polynomials

Explores orthogonal and orthonormal bases, Gram-Schmidt process, and orthogonal polynomials in physics.

Bernoulli Differential Equations: Historical Insights and Solutions

Discusses Bernoulli differential equations, their historical context, and methods for solving them, emphasizing the importance of linear algebra concepts in understanding these equations.

Linear Differential Equations

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

Differential Equations: Implicit Function Theorem

Explores the implicit function theorem and Taylor polynomials in differential equations.

Taylor Polynomials: Correction Exam 2018

Covers the correction of an exam from 2018, focusing on Taylor polynomials and Jacobian matrices.

General Solution of EOLI in Homogeneous

Covers the general solution of EOLI in homogeneous and explores linear applications and identity functions.

Linear Differential Equations: Constant Coefficients and Solution Methods

Covers linear differential equations with constant coefficients and introduces the method of good choice for finding particular solutions.

Polynomials on a Field: Basics and Operations

Introduces the basics of polynomials on a field, focusing on definitions, operations, and properties.