Many systems are piecewise linear. That is, over a large range of variable values, the system can be described linearly. A system with amplifier saturation is one such example. Given the differential equation

assume that f(x) is as shown in Figure P2.34. Write the differential equation for each of the following ranges of x:

a. -∞ < x < -3

b. -3 < x < 3

c. 3 < x < ∞