Higher Order Ordinary Differential Equations

Xiaoping Xu
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Xiaoping Xu: Academy of Mathematics and System Science, Institute of Mathematics

Chapter Chapter 2 in Algebraic Approaches to Partial Differential Equations, 2013, pp 17-35 from Springer

Abstract: Abstract In this chapter, we begin by solving homogeneous linear ordinary differential equations with constant coefficients by using characteristic equations. Then we solve the Euler equations and exact equations. The method of undetermined coefficients for solving inhomogeneous linear ordinary differential equations is also presented. Furthermore, we give the method of variation of parameters for solving second-order inhomogeneous linear ordinary differential equations, and we introduce the power series method to solve variable-coefficient linear ordinary differential equations and study the Bessel equation in detail.

Keywords: Inhomogeneous Linear Ordinary Differential Equation; Bessel Equation; Undetermined Coefficients; Exact Equations; Power Series Method (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-36874-5_2

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DOI: 10.1007/978-3-642-36874-5_2

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