Chapter 9.1, Problem 1TFR

For Question (a)-(j), decide if the given statement is true or false, and give a brief justification for your answer. If true, you can quote a relevant definition or theorem from the text. If false, provide an example, illustration, or brief explanation of why the statement is false.

The system of differential equations $x^{\prime }=e^{2t}x+e^{-t}y,y^{\prime }=tx+5\left(\cos t\right)y$ is a first-order linear system of differntial equations.