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Linear Equations Resolution
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Related lectures (43)
Transformations: Expressing Sums and Products
Covers expressing sums and products using trigonometric functions step by step.
Ordinary Differential Equations
Covers ordinary linear homogeneous differential equations of the second order with constant coefficients.
Developments in Limited Developments
Introduces limited developments and differential equations with practical applications.
Linear Equations and Matrices
Introduces linear equations, matrices, systems of equations, and solution sets for 2 or 3 unknowns.
Second Order Differential Equations
MOOC: Warm-up for EPFL
Explores second order linear differential equations, including complex solutions and trigonometric functions.
Solving Cauchy Problems: Differential Equations and Solutions
Demonstrates the process of solving a Cauchy problem for a differential equation with specific initial conditions.
Canonical Transformations: Existence and Equations
Explores canonical transformations, focusing on existence, equations, simplicity, and differential equations' theory.
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.
Numerical Analysis: Stability in ODEs
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Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.
Non-linear Equations: Dichotomy Method
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Explores non-linear equations using the dichotomy method for finding zeros with tolerance.
Differential Equations: General Solutions and Methods
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Covers solving linear inhomogeneous differential equations and finding their general solutions using the method of variation of constants.
Differential Equations: Speed Variation Analysis
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Covers the analysis of speed variation using differential equations and small time intervals.
Reciprocal Trigonometric Functions
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Explores reciprocal trigonometric functions, hyperbolic functions, and area theorems.
Linear Differential Equations
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Explores solving linear differential equations and the principle of superposition with illustrative examples.
Untitled
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General Solution of Inhomogeneous ED
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Covers the general solution of inhomogeneous differential equations and explores linear dependence, uniqueness theorems, and second-order equations.
Vertical Metronome: Equilibrium and Stability
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Explores equilibrium and stability of a vertical metronome system with springs.
Solving Differential Equations
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Covers the process of solving differential equations using various methods.
Linear Applications: Matrices and Transformations
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Covers linear applications, matrices, transformations, and the principle of superposition.
Linear Equations: Introduction and Solutions
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Covers the introduction and solutions of linear equations, including methods for solving systems and determining the number of solutions.
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