Ordinary differential equation | Wikipedia audio article
Channel: wikipedia tts
Date: 04/10/2019

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Ordinary_differential_equation


00:00:21 1 Differential equations
00:03:08 2 Background
00:05:24 3 Definitions
00:06:29 3.1 General definition
00:08:39 3.2 System of ODEs
00:09:27 3.3 Solutions
00:15:38 4 Theories
00:17:39 4.1 Singular solutions
00:17:48 4.2 Reduction to quadratures
00:18:36 4.3 Fuchsian theory
00:19:37 4.4 Lie's theory
00:20:25 4.5 Sturm–Liouville theory
00:20:31 5 Existence and uniqueness of solutions
00:22:02 5.1 Local existence and uniqueness theorem simplified
00:22:58 5.2 Global uniqueness and maximum domain of solution
00:23:41 6 Reduction of order
00:26:12 6.1 Reduction to a first-order system
00:31:56 7 Summary of exact solutions
00:32:13 8 Software for ODE solving
00:35:00 9 See also
00:36:00 10 Notes
00:36:06 11 References
00:37:44 12 Bibliography



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SUMMARY
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In mathematics, an ordinary differential equation (ODE) is a differential equation containing one or more functions of one independent variable and the derivatives of those functions. The term ordinary is used in contrast with the term partial differential equation which may be with respect to more than one independent variable.