Abstract
Once again, second-order differential equations with constant coefficients serve as a special topic for our study. This time we study them not just because it is easy to explain everything that is going on, but because of the special interests one can have in the physical situation that these differential equations are modeling. We study several cases of the motion of a single weight hanging from a spring:
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where the motion is free;
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where the motion is damped;
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when there is a forcing function present.
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© 2004 Springer Science+Business Media New York
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Ross, C.C. (2004). Applications of Second-Order Equations. In: Differential Equations. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-3949-7_6
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DOI: https://doi.org/10.1007/978-1-4757-3949-7_6
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-1941-0
Online ISBN: 978-1-4757-3949-7
eBook Packages: Springer Book Archive