O COS 2t o sin 2t -2 cost - sint cost - 2 sint (vi) c1 5 cost + C2 t sin t 10. Define the vector field F by F(a) := (ar], -x2).9. For each of the following matrices A, find the general solution of dac = Ax, dt determine the stability and type of the equilibrium point at x = 0 and sketch typical trajectories. You may wish to use MAPLE/Matlab/Mathematica to verify your sketches. (i) A = 2 3 (ii) A = OT NO (iii) A = 3 5 3 (iv) A = ( V ) A = -2 (vi) A = -1 CT AD CIT 5 2