 |
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).
Rayleigh Differential Equation
See also
Rayleigh Wave Equation, van der Pol EquationExplore with Wolfram|Alpha
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 EquationCite this as:
Weisstein, Eric W. "Rayleigh Differential Equation." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/RayleighDifferentialEquation.html