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- E1
[1SW]Prerequisites:[1MN],[1MK], Section [2D8].
Given \(A,C∈ ℂ^{n× n}\) and \(F:ℝ→ℂ^{n× n}\) continuous matrix valued functions, solve the ODE
\[ X'=AX+F~ ~ , X(0)=C~ ~ , \]
where \(X:ℝ→ℂ^{n× n}\).
(Hint: use the method of variation of constants: replace \(Y(t)=\exp (-tA)X(t)\))
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