Differential equations MOC

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 →M𝑛×𝑛(ℝ) and ⃗𝐠 :ℝ →ℝ𝑛. This is also called a Differential system.

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