System of linear ODEs

The theory of a system of linear ODEs shares much in common with the theory of a system of linear equations. A system of linear ODEs is one which may be written as

⃗ 𝐱' = 𝑃 (𝑡) ⃗ 𝐱 + ⃗ 𝐠 (𝑡)

where $𝑃 : ℝ \to M 𝑛 \times 𝑛 (ℝ)$ and $⃗ 𝐠 : ℝ \to ℝ 𝑛$ . This is also called a Differential system.

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