In 11–16 verify that the vector X is a solution of the

Chapter 8, Problem 12E

(choose chapter or problem)

In Problems 11–16 verify that the vector X is a solution of the given system.

\(\frac{d x}{d t}=-2 x+5 y\)

\(\frac{d y}{d t}=-2 x+4 y\); \(\mathbf{X}=\left(\begin{array}{c}

5 \cos t \\

3 \cos t-\sin t

\end{array}\right) e^{t}

\)

Text Transcription:

dx/dt=-2 x+5 y

dy/dt=-2 x+4 y

mathbf X=({array} c 5 cos t 3 cos t-sin t {array}) e^t

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