Mathematics, 07.04.2020 21:51 jessieeverett432
Recall from (14) in Section 8.3 that X = Φ(t)Φ−1(t0)X0 + Φ(t) t Φ−1(s)F(s) ds t0 solves the initial value problem X' = AX + F(t), X(t0) = X0 whenever Φ(t) is a fundamental matrix of the associated homogeneous system. Use the above to solve the given initial-value problem. X' = 6 2 2 6 X + 8e8t 8e4t , X(0) = 1 1
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Recall from (14) in Section 8.3 that X = Φ(t)Φ−1(t0)X0 + Φ(t) t Φ−1(s)F(s) ds t0 solves the initial...
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