First-Order Ordinary Differential Equations

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

Chapter Chapter 1 in Algebraic Approaches to Partial Differential Equations, 2013, pp 3-16 from Springer

Abstract: Abstract In this chapter, we start with first-order linear ordinary differential equations, and then discuss first-order separable equations, homogeneous equations, and exact equations. Next we present the methods of solving more special first-order ordinary differential equations, such as the Bernoulli equations, the Darboux equations, the Riccati equations, the Abel equations, and the Clairaut equations.

Keywords: First-order Linear Ordinary Differential Equation; Abel Equation; Darboux Equation; Clairaut Equation; Bernoulli Equation (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_1

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DOI: 10.1007/978-3-642-36874-5_1

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