December 2020
Intermediate to advanced
1064 pages
49h 13m
English
Content preview from Advanced Engineering Mathematics, 7th Edition
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3.11 Nonlinear Models
INTRODUCTION
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.
Nonlinear Springs
The mathematical model in (1) of Section 3.8 has the form
(1)
where F(x) = kx. Since x denotes the displacement of the mass from its equilibrium position, F(x) = kx is Hooke’s law, ...
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