Degenerate Canonical Forms of Ordinary Second-Order Linear Homogeneous Differential Equations

Degenerate Canonical Forms of Ordinary Second-Order Linear Homogeneous Differential Equations

For each fundamental and widely used ordinary second-order linear homogeneous differential equation of mathematical physics, we derive a family of associated differential equations that share the same “degenerate” canonical form. These equations can be solved easily if the original equation is known...

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Bibliographic Details
Main Authors: Dimitris M. Christodoulou, Eric Kehoe, Qutaibeh D. Katatbeh
Format: Article
Language:English
Published: MDPI AG 2021-05-01
Series:Axioms
Subjects:
ordinary differential equations
analytical methods
mathematical models
Riccati equation
radial Schrödinger equation
transformations
Online Access:https://www.mdpi.com/2075-1680/10/2/94

Internet

https://www.mdpi.com/2075-1680/10/2/94

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