Answer
True
Work Step by Step
The system of differential equations $x′=e^{2t}x+e^{-t}y$, $y′ = tx+5(\cos t)y$ is a first-order linear system of differential equations. Because it is in form
$\frac{dx_1}{dt}=a_{11}(t)x_1(t)+a_{12}(t)x_2(t)+...+a_{1n}(t)x_n(t)+b_1(t)$ where $a_{ij}(t)$ and $b_i(t)$ are specified functions on an interval $I$.
