Problem 5 (10 pts) Find the conditions on real numbers a, b,c for which all solutions of the system Szí + axı + bx2 = 0, 1 &'z + cxı + ax2 = 0, tend to zero as t → . Problem 6 (15 pts) Find the general solution of the system 5x1 + 2x1 + 3x2 = 0, | 2's + 2x2 + 3x1 = 2e24 Problem 7 (15 pts) Given the vector g= and 2 x 2 matrix A with negative 2 eigenvalues 11, 12 and corresponding eigenvectors v (1) -[-1] -= [1] find lim x(t), where x(t) = xi(t) 22(t) ) is a solution of the problem x'(t) = Ax(t) +g, x(0) =