5. For the following systems of differential equations, (i) find the general solution and plot the phase portrait. (ii) classify the equilibrium (iii) pick an initial condition x(t) = (x(t), y(t))™ in your phase portrait, highlight the corresponding solution curve, and sketch the corresponding functions x(t) and y(t) in two separate plots. You do not need to turn in the 2 problems that have repeated eigenvalues, those will be due next week. (a) x' = (b) x' = (c) x' = (d) x' = · -5 4 1 -2 (+ 5 -1 2): (31) × -2 = (³½³ 1 ) x 5 4 · (60) x ✗ (e) x' = (2 2) × (f) x' = ( -2 1 (g) x' = = (8 −3) × 4 -3 -6 (h) x' = = ( 6 0 ✗ ) ×