A Rayleigh differential equation is given by
where 
.
Differentiating and setting 
gives the van der Pol
equation. The equation
with the 
replaced by 1 is sometimes also called the Rayleigh differential equation (Birkhoff
and Rota 1978, p. 134; Zwillinger 1997, p. 126).
See also
Rayleigh Wave Equation,
van der Pol Equation
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References
Birkhoff, G. and Rota, G.-C. Ordinary Differential Equations, 3rd ed. New York: Wiley, p. 134, 1978.Zwillinger,
D. Handbook
of Differential Equations, 3rd ed. Boston, MA: Academic Press, p. 126,
1997.Referenced on Wolfram|Alpha
Rayleigh Differential Equation
Cite this as:
Weisstein, Eric W. "Rayleigh Differential Equation."
From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/RayleighDifferentialEquation.html
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