Question

X(t) = \begin{bmatrix} e^{2t} + e^{-4t} \\ e^{2t} - e^{-4t} \end{bmatrix}. \text{Find a planar linear system } X' = AX \text{ to which } X(t) \text{ is a solution.}

          X(t) = \begin{bmatrix} e^{2t} + e^{-4t} \\ e^{2t} - e^{-4t} \end{bmatrix}. \text{Find a planar linear system } X' = AX \text{ to which } X(t) \text{ is a solution.}

X(t) =
< b m a t r i x >
. Find a planar linear system X' = AX to which X(t) is a solution.

Added by Patricia G.

Calculus: Early Transcendentals

James Stewart 8th Edition

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Solved by Expert Israel Hernandez

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We have: X'(t) = (d/dt)(e2t + e-4t - e2t e-At) Show more…

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e2t +e-4t- e2t e-At , X(t) Find planar linear system X' = AX to which X(t) is & solution

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Question

X(t) = \begin{bmatrix} e^{2t} + e^{-4t} \\ e^{2t} - e^{-4t} \end{bmatrix}. \text{Find a planar linear system } X' = AX \text{ to which } X(t) \text{ is a solution.}

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