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An autonomous system of differential equations in the plane

Published online by Cambridge University Press:  17 April 2009

R.F. Matlak
R.F. Matlak
Affiliation:
Macquarie University, North Ryde, New South Wales.
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Abstract

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In the present note the equation yn = x1-m ym is reduced, under appropriate conditions, to a quadratic autonomous system of differential equations in the plane. In pursuance of this new approach, the main geometric features of this autonomous system are determined and a method of solving it is outlined.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 1 , Issue 3 , December 1969 , pp. 391 - 395
Copyright
Copyright © Australian Mathematical Society 1969

References

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