Chapter 9.7, Problem 22E

$9.7$ Exercises

In Problems 21 and 22, find the solution to the given system that satisfies the given initial condition.

$x^{\prime }\left(t\right)=\left[\begin{array}{cc}0& 2\\ 4& -2\end{array}\right]x\left(t\right)+\left[\begin{array}{c}4t\\ -4t-2\end{array}\right]$

a. $x\left(0\right)=\left[\begin{array}{c}4\\ -5\end{array}\right]$

b. $x\left(2\right)=\left[\begin{array}{c}1\\ 1\end{array}\right]$.