Answer: In 7–10 write the given system without the use of

Chapter 8, Problem 10E

(choose chapter or problem)

In Problems 7–10 write the given system without the use of matrices.

\(\frac{d}{d t}\left(\begin{array}{l}

x \\

y

\end{array}\right)=\left(\begin{array}{rr}

3 & -7 \\

1 & 1

\end{array}\right)\left(\begin{array}{l}

x \\

y

\end{array}\right)+\left(\begin{array}{l}

4 \\

8

\end{array}\right) \sin t+\left(\begin{array}{r}

t-4 \\

2 t+1

\end{array}\right) e^{4 t}

\)

Text Transcription:

d/dt({array} l x y {array})=({array} rr 3 & -7 1 & 1 {array}) ({array} l x y {array})+({array} l 4 8 {array}) sin t+({array} r t-4 2 t+1 {array}) e^4 t

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