1. In this problem, we study three systems of equations taken from Boyce & DiPrima: x' = = (3 −2) × x' x' = (Prob. 3, Sect. 7.5), = ( -3) X (Prob. 5, Sect. 7.6), -3 5/2) x (Prob. 4, Sect. 7.8). -5/2 (a) Use MATLAB to find the eigenvalues and eigenvectors of each linear system. Use your results to write down the general solution of the system. (b) For each system, find the general solution using dsolve, and plot several trajectories. On your graphs, draw the eigenvectors (if relevant), and indicate the direction of increasing time on the trajectories. State the type and stability of the origin as a critical point. You may find that the quality of your portraits can be enhanced by modifying the t-interval or the range of values assumed by the initial data.