15. The function mt) determined by the initial value problem 3i - '52 z; = z1 with initial conditions Jam} 2 l and 12(0) 2 1 is given by A. 3:; = 3int+eeet B. 3:; = sin 3 + cost 0. m; %(e' + e\") D. 3;; east E. 13 2153\" ile 3 16. The 2 x 2 matrix A = 2 has complex eigenvalues r = -2 + i. An eigenvector corresponding to r = -2 + i is 1-i ) The system I' = AT + e has one solution given by (() = e-2t. What is the general solution to the system? A. CI -je(-2tilt + 02 eat cost sin t B. CI 1(sint - cost ) e at + ez (- sint - cost) e #+ (2) e 2 C. CI cost ) e at + c2 ( - sint ) ez + (2 e- e -21 cost E. CI e-2t + 02 0 - cost sint e-2t + C3 eat