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On a Differential Equation and the Construction of Milner's Lamp

Published online by Cambridge University Press:  20 January 2009

Professor Cayley
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Extract

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What sort of an equation is

Write

and start with the equations

This last gives

and the system thus is

viz., this is a system of ordinary differential equations between the five variables θ, r, X, Y, Z: the system can therefore be integrated with 4 arbitrary constants, and these may be so determined that for the value β of θ, X, Y, Z shall be each = 0; and r shall have the value r0.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 5 , February 1886 , pp. 99 - 101
Copyright
Copyright © Edinburgh Mathematical Society 1886