Match the following solutions of homogeneous linear systems

Match the following solutions of homogeneous linear systems with their phase portraits. The matrix A for the system x = Ax has been provided. x(t) = c1e-t[-2 1]+c2e3t[2 1]; A = [1 4 1 1]

Solution

Here solution is of the form

c1e^{r1 t}+c2e^{r2 t}

As r1 and r2 have different signs,

F is better option out of all 4