5. In a previous homework question we considered a system of two springs. The homogeneous (unforced) equation for the length a = x(f) of the lowest spring was for when both masses m, and my are set to unity, and where , and &, are spring constants. By writing 1=E, 1 = 6, 1 = i and 1, = 2(), express this 1th-order differential equation as a first-order system of differential equations 1 = Ay dt for a matrix A which you must specify, and wherey = (1, 12 13, w) . What are the eigenvalues of A, and what does this tell you about the nature of the solutions? In particular, is it possible for a solution to be unbounded? Are any solutions periodic