(2 cos 2t / 19. Assume that a real 2 x 2 matrix A has an eigenvalue of A1 = 3+ 2i with a corresponding eigenvector = (6) Find the general solution of the system of differential equations 2i given by 글...

Extracted text: (2 cos 2t / 19. Assume that a real 2 x 2 matrix A has an eigenvalue of A1 = 3+ 2i with a corresponding eigenvector = (6) Find the general solution of the system of differential equations 2i given by 글 %=D Az. cos 2t sin 2t 교(t) = cie3t ( sin 2t + cze³t 2 cos 2t cos 2t sin 2t a(t) = c1e3t + cze3t -2 sin 2t 2 cos 2t (. cos 2t sin 2t a(t) Ciešt + cze3t sin 2t - cos 2t ( -2 cos 2t sin 2t a(t) = cie3t + cze3t sin 2t -2 cos 2t cos 2t ( 2 sin 2t ) sin 2t a(t) = c1e3t + cze³t 2 cos 2t