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Lecture
Systems and Linear Equations: Introduction
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Linear Equations and Matrices
Introduces linear equations with real coefficients, systems, solutions, and representations in 2D and 3D spaces.
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.
Linear Differential Equations: Solutions and Wronskian
Covers linear differential equations, focusing on solutions, the Wronskian, and methods for solving non-homogeneous equations.
Cauchy Problem Resolution: General Solution Approach
Covers the resolution of a Cauchy problem using a general solution approach for differential equations.
Linear Equations: Introduction and Solutions
Covers the introduction and solutions of linear equations, including methods for solving systems and determining the number of solutions.
Cauchy Problem: Differential Equations and Initial Conditions
Covers the Cauchy problem, focusing on differential equations and the role of initial conditions in determining unique solutions.