In 15–18 use the method of Example 1 to compute eAt for

Chapter 8, Problem 15E

(choose chapter or problem)

In Problems 15–18 use the method of Example 2 to compute \(e^{\mathbf{A} t}\) for the coefficient matrix. Use (1) to find the general solution of the given system.

\(\mathbf{X}^{\prime}=\left(\begin{array}{rr}

4 & 3 \\

-4 & -4

\end{array}\right) \mathbf{X}

\)

Text Transcription:

e^mathbf A t

mathbf X^prime = ({array} rr 4 & 3 -4 & -4 {array}) mathbf X

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