my myucdavis G= News anslate 1 pts Question 3 dx Ax. Find the general solution to the system dt Note that for the matrix A with complex eigenvalues /1,2 = a # ib with corresponding eigenvectors v1,2 = u _ iw the general solution da to the system Ax is at a = Cleat (cos(bt) u - sin(bt)w) + Czeat (cos(bt) w + sin(bt) u You don't have to memorize this. x1 = 3Cle 2t cos (5t) + 3Cze 2t sin(5t), X2 = -4Cle 2t sin(5t) + 4Cze 2t cos(5t) O x1 = 3Cle 2t cos(5t) + 4C2e-2t sin (5t), 2 = 3Cle 2t sin(5t) + 4Cze-2t cos(5t) O x1 = 3Cle 2t cos(5t) + 3Cze 2t cos(5t), 2 = -4Cle 2t sin(5t) + 4Cze-2t sin (5t) O x1 = 3e-2t cos(5t) + 3e-2t sin (5t), X2 = -4e-2t sin (5t) + 4e-2t cos(5t) O x1 = 3Cle-2t cos(5t) - 3Cze-2t sin (5t), $2 = 4Cle 2t sin(5t) + 4Cze-2t cos(5t)D Question 4 1 pts The equilibrium point (0, 0) is a(n) O unstable spiral O saddle O unstable node O stable spiral O stable node D Question 5 1 ptsD da In the Questions 3-4 we will analyze the system = Ax where dt the eigenvalues of A are 1 = -2 + 52 and 12 = -2 - 52 and the 3 3 corresponding eigenvectors are v1 and v2 4i = 4i D Question 3 1 pts dx Find the general solution to the system = Ax. dt Note that for the matrix A with complex eigenvalues _1,2 = a + ib with corresponding eigenvectors v1,2 = u + iw the general solution da to the system Ax is dt pat (