16. ODE system: Eigenvalue method

▼ IMPORTANT ▼ In this video we will see an example (exercise) solved of a system of differential equations solved by the method of eigenvalues, calculating the roots of the characteristic equation (characteristic polynomial) of the coefficient matrix of the system, which is calculated as the determinant of lamba by the identity, minus the coefficient matrix. Non-trivial solutions of the homogeneous system thus formed are sought, which will be the eigenvectors, and finally the general solution is written as a combination of exponential functions. Everything explained step by step.
#DifferentialEquations #Systems #EDO #LinearAlgebra
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** BIBLIOGRAPHY **
- Differential Equations, Edwards and Penney
- Differential Equations, Daniel A. Marcus
- Differential Equations, Dennis G. Zill
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