SOLVED: 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 8e^8t 8e^4t , X(0) = 1 1
SOLVED: Recall from (14) in Section 8.3 that X = Φ(t)Φ^(-1)(t0)X0 Φ(t) t Φ^( …
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