Solution: In 7–10 write the given system without the use of
Chapter 8, Problem 9E(choose chapter or problem)
In Problems 7–10 write the given system without the use of matrices.
\(\frac{d}{d t}\left(\begin{array}{l}
x \\
y \\
z
\end{array}\right)=\left(\begin{array}{rrr}
1 & -1 & 2 \\
3 & -4 & 1 \\
-2 & 5 & 6
\end{array}\right)\left(\begin{array}{l}
x \\
y \\
z
\end{array}\right)+\left(\begin{array}{l}
1 \\
2 \\
2
\end{array}\right) e^{-t}-\left(\begin{array}{r}
3 \\
-1 \\
1
\end{array}\right) t
\)
Text Transcription:
d/dt({array} l x y z {array})=({array} rrr 1 & -1 & 2 3 & -4 & 1 -2 & 5 & 6 {array})({array} l x y z {array})+({array} l 1 2 2 {array}) e^-t-({array} r 3 -1 1 {array}) t
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