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

Chapter 8, Problem 14E

(choose chapter or problem)

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

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

2 & 1 \\

-1 & 0

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

\); \(\mathbf{X}=\left(\begin{array}{l}

1 \\

3

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

4 \\

-4

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

\)

Text Transcription:

mathbf X^prime=({array} rr 2 & 1 -1 & 0 {array}) mathbf X

mathbf X=({array} l 1 3 {array}) e^t+({array} r 4 -4 {array}) t e^t