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A word of caution is necessary: if a lot of technical data and engineering descriptions make you squeamish (we're not talking second-order differential equations here, but the book is heavy in numbers and units of measurement), or if tons of acronyms make you break out in a rash, then this book probably isn't one you want to tackle.
Example (3) Let us consider the second-order differential equation
The textbook covers first-order and second-order differential equations, matrix theory and systems of differential equations, and an introduction to partial differential equations.
A spring-mass-damper model is commonly used to represent components in mechanical systems, such as a vehicle suspension or connected bodies like train cars, allowing the systems to be modeled using basic second-order differential equations.
Keener, On the solutions of certain linear nonhomogeneous second-order differential equations, Applicable Anal.
BELOHOREC, Non-linear oscillations of a certain non-linear second-order differential equation, Mat.
The reduction method useful to find the general solution of a second-order differential equation only requires the knowledge of a particular solution rather than two as in the usual standard methods.
The behavior is expressed as a system of n second-order differential equations,