Homogeneous linear systems: constant coefficients

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Revision as of 15:06, 10 June 2024 by Rice (talk | contribs) (Created page with "Category:Differential Equations Homogeneous linear systems of ODEs take the following form: <math> \vec{x}'=Ax </math> Similar to the scalar case, we look for some exponential solutions: <math> \vec{x}=e^{rt}\vec{\xi } </math>")

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Homogeneous linear systems of ODEs take the following form:

${\vec {x}}'=Ax$

Similar to the scalar case, we look for some exponential solutions:

${\vec {x}}=e^{rt}{\vec {\xi }}$

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Differential Equations