3.11 Nonlinear Models
In this section we examine some nonlinear higher-order mathematical models. We are able to solve some of these models using the substitution method introduced on page 153. In some cases where the model cannot be solved, we show how a nonlinear DE can be replaced by a linear DE through a process called linearization.
The mathematical model in (1) of Section 3.8 has the form
where F(x) = kx. Since x denotes the displacement of the mass from its equilibrium position, F(x) = kx is Hooke’s ...
Get Advanced Engineering Mathematics, 7th Edition now with the O’Reilly learning platform.
O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.