推 fatfatyu:原來如此 謝謝了 03/10 14:37
※ 引述《fatfatyu (泡麵王)》之銘言：
: let Φ(t)be a fundamental matrix satisfying the system X'(t)=AX(t)
: derive the general solution for the system X'(t)=AX(t)+F(t).
Φ'=AΦ
let X = ΦV
Φ'V + ΦV' = AΦV + F
ΦV' = F , V' = Φ^(-1)F
V = ∫Φ^(-1)Fdt + C
X = Φ[∫Φ^(-1)Fdt + C]
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