In this chapter we present several applications which require the solution of a linear system of first-order differential equations with constant coefficients.
System 1 Suppose a massm1 is attached to one end of a spring with spring constant k1. The other end of this spring is attached to a fixed support. A second mass m2 is attached to one end of a second spring with spring constant k2. The other end of the second spring is attached to the bottom of mass m1 and the resulting system is allowed to come to rest in the equilibrium position as shown in Figure 9.1.