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Rayleigh Differential Equation

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y^('')-mu(1-1/3y^('2))y^'+y=0,

where mu>0. Differentiating and setting y=y^' gives the van der Pol equation. The equation

y^('')-mu(1-y^('2))y^'+y=0

with the 1/3 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 Web Resource. https://mathworld.wolfram.com/RayleighDifferentialEquation.html

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