Homogeneous and Non-Homogeneous Systems

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Covers the introduction and solutions of linear equations, including methods for solving systems and determining the number of solutions.

Explores systems of linear equations, elementary operations, augmented matrices, and Gaussian elimination algorithm.

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

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

Explores linear differential equations of order n, including homogeneous and inhomogeneous equations, solutions, and linear independence.

Covers linear differential equations, focusing on solutions, the Wronskian, and methods for solving non-homogeneous equations.

Covers first-order differential equations, including linear equations and applications in physics.

Discusses methods for solving differential equations, focusing on undetermined coefficients and variation of constants.

Covers the definition and solution of linear equations with real coefficients in 2D and 3D space.

Covers the QR factorization method applied to solving a system of linear equations in the least squares sense.