Question 1
Which statement best describes a linear system of differential equations?
Question 2
Which of the following is the standard matrix form of a linear system of first-order differential equations?
Question 3
For the system $x' = 2x + y$ and $y' = -3x + 4y$, what is the coefficient matrix?
Question 4
Is the system $x' = x^2 + y$ and $y' = x - y$ linear?
Question 5
In a homogeneous linear system $\mathbf{x}' = A\mathbf{x}$, what is the forcing vector $\mathbf{g}(t)$?