3.8 Linear Models: Initial-Value Problems
INTRODUCTION
In this section we are going to consider several linear dynamical systems in which each mathematical model is a linear second-order differential equation with constant coefficients along with initial conditions specified at time t0:
The function g is variously called the input, driving, or forcing function of the system. The output or response of the system is a function y(t) defined on an I interval containing t0 that satisfies both the differential equation and the initial conditions on the interval I.
3.8.1 Spring/Mass Systems: Free Undamped Motion
We begin this first section by examining ...
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