In 33 and 34, use (14) to solve the given initial-value problem

Chapter 10, Problem 33

(choose chapter or problem)

In Problems 33 and 34, use (14) to solve the given initial-value problem.

\(\mathbf{X}^{\prime}=\left(\begin{array}{rr}3 & -1 \\ -1 & 3\end{array}\right) \mathbf{X}+\left(\begin{array}{l}4 e^{2 t} \\ 4 e^{4 t}\end{array}\right), \quad \mathbf{X}(0)=\left(\begin{array}{l}1 \\ 1\end{array}\right)\)

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