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Reduction of order and variation of parameter

Published online by Cambridge University Press:  03 November 2016

Phil Locke
Phil Locke*
Affiliation:
University of Maine, Orono, Maine 04473, USA
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Extract

Most elementary differential equations texts treat reduction of order and variation of parameter as separate—and seemingly unrelated—methods. The purpose of this short article is to show how these two well-known methods may be regarded as special cases of a more general algorithm, and to clarify the conditions under which they are applicable. We suggest that this algorithm be called ‘parametric reduction’.

Type
Research Article
Information
The Mathematical Gazette , Volume 57 , Issue 401 , October 1973 , pp. 191 - 193
Copyright
Copyright © Mathematical Association 1973 

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References

1. Hartman, P., Ordinary differential equations. Wiley (1964).Google Scholar