Math 2.0

Ordinary differential equations Concept

Homogeneous linear system with constant coefficients

Summary

A homogeneous linear system with constant coefficients is a system x′=Axx' = A x with a constant square matrix AA. Its solutions are given by the matrix exponential, and the eigenvalues of AA control their behaviour. See the definition.

Further reading

  1. Web https://en.wikipedia.org/wiki/Matrix_differential_equation, Solution in matrix form
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Tag0469V0EN5N
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MSC34A30
SpecializesSystem of linear differential equations

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