Consider the following system. dx = 3x + 5y dt dy = -2x + 5y dt Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.) 1 = 4+ 31,4 - 3i Find an eigenvector corresponding to the eigenvalue with positive imaginary part. K = [5,1 + 3i] Find the general solution of the given system. ( x (t ), y(t ) ) = 5c1 cos(3t) + c,sin (3t) Jet (1 + 362 ) cos( 3t) + (c, - 30, )sin( 3t) )et X