Problem 2. Consider the 2 x 2 system of DUES, where X {t} = (x1 it] for some real-valued functions X2 it] X111] and 742\"). Do the following: 1. l-'ind the eigenvalues and eigenveetors of A. 2. l~'ind the general solution [ignoringl initial condition] with real components. 3. l~'ind the particular solution [using the initial condition}. 4. Plot each component of the solution as a function of time. 5. Plot the phase plot lie. on the magplane}. and draw arrows indicating its orientation as t increases