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An Elementary Proof of the Theorems of Cauchy and Mayer

Published online by Cambridge University Press:  20 January 2009

A. J. Macintyre  and
R. Wilson
A. J. Macintyre
Affiliation:
University of Sheffield.
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Attention has recently been drawn to the obscurity of the usual presentations of Mayer's method of solution of the total differential equation

This method has the practical advantage that only a single integration is required, but its theoretical discussion is usually based on the validity of some other method of solution. Mayer's method gives a result even when the equation (1) is not integrable, but this cannot of course be a solution. An examination of the conditions under which the result is actually an integral of equation (1) leads to a proof of the existence theorem for (1) which is related to Mayer's method of solution in a natural way, and which moreover appears to be novel and of value in the presentation of the subject.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 4 , Issue 3 , August 1935 , pp. 112 - 117
Copyright
Copyright © Edinburgh Mathematical Society 1935

References

REFERENCES

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