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- W76221443 abstract "This chapter describes how some of the techniques for solving higher-order differential equations methods can be used to solve initial-value problems that model physical situations. Suppose that a mass is attached to an elastic spring that is suspended from a rigid support such as a ceiling. The mass causes the spring to stretch to a distance from its natural position. The position in which it comes to rest is called the equilibrium position. According to Hooke's law, the spring exerts a restoring force in the upward direction that is proportional to the displacement of the spring. Studies in mechanics reveal that resistive forces because of damping are proportional to a power of the velocity of the motion. In some cases, the motion of the spring is influenced by an external driving force. The differential equations modeling forced motion are nonhomogeneous and require the method of undetermined coefficients or variation of parameters for solution." @default.
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- W76221443 date "1994-01-01" @default.
- W76221443 modified "2023-09-27" @default.
- W76221443 title "Applications of Higher-Order Differential Equations" @default.
- W76221443 doi "https://doi.org/10.1016/b978-0-12-041548-9.50008-6" @default.
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