A symmetry of a differential equation is a transformation that keeps its family of solutions invariant. Symmetry analysis can be used to solve some ordinary and partial differential equations, although determining the symmetries can be computationally intensive compared to other solution methods.
Differential Equation Symmetry
See also
Differential EquationThis entry contributed by Bhuvanesh Bhatt
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References
Zwillinger, D. Handbook of Differential Equations, 3rd ed. Boston, MA: Academic Press, pp. 331-344 and 426-433, 1997.Referenced on Wolfram|Alpha
Differential Equation SymmetryCite this as:
Bhatt, Bhuvanesh. "Differential Equation Symmetry." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/DifferentialEquationSymmetry.html