Baer Differential Equation
The Baer differential equation is given by
![(x-a_1)(x-a_2)y^('')+1/2[2x-(a_1+a_2)]y^'-(p^2x+q^2)y=0,](https://txtdot.deep-swarm.xyz/proxy/img?url=https%3A%2F%2Fmathworld.wolfram.com%2Fimages%2Fequations%2FBaerDifferentialEquation%2FNumberedEquation1.svg)
while the Baer "wave equation" is
![(x-a_1)(x-a_2)y^('')+1/2[2x-(a_1+a_2)]y^'-(k^2x^2-p^2x+q^2)y=0](https://txtdot.deep-swarm.xyz/proxy/img?url=https%3A%2F%2Fmathworld.wolfram.com%2Fimages%2Fequations%2FBaerDifferentialEquation%2FNumberedEquation2.svg)
(Moon and Spencer 1961, pp. 156-157; Zwillinger 1997, p. 121).
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References
Moon, P. and Spencer, D. E. Field Theory for Engineers. New York: Van Nostrand, 1961.Zwillinger, D. Handbook of Differential Equations, 3rd ed. Boston, MA: Academic Press, p. 121, 1997.
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Cite this as:
Weisstein, Eric W. "Baer Differential Equation." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/BaerDifferentialEquation.html