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On a Differential Equation and the Construction of Milner's Lamp
Published online by Cambridge University Press: 20 January 2009
Extract
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.
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- Copyright © Edinburgh Mathematical Society 1886
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