Abstract
Through our study of linear systems of differential equations, we have already encountered higher-order differential equations that arise naturally in physical applications. Two particularly important ones are those associated with spring-mass systems and RLC circuits. Here we briefly revisit these equations.
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Notes
- 1.
If we tried the guess \(y_p = A\ln t\), then \(y_p^{\prime } = A/t\), which introduces a function of an entirely new form. If we tried \(y_p = A\ln t + B/t\), then the derivative leads us to a function involving 1∕t 2, again of a form not considered.
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Struthers, A., Potter, M. (2019). Higher-Order Differential Equations. In: Differential Equations . Springer, Cham. https://doi.org/10.1007/978-3-030-20506-5_4
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DOI: https://doi.org/10.1007/978-3-030-20506-5_4
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Publisher Name: Springer, Cham
Print ISBN: 978-3-030-20505-8
Online ISBN: 978-3-030-20506-5
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