### GROUP CLASSIFICATION OF LINEAR SECOND-ORDER DELAY ORDINARY DIFFERENTIAL EQUATION

#### Abstract

The linear delay ordinary differential equation

y”(x) + a(x) y’(x) + b(x) y’(x −τ ) + c(x) y(x) + d(x) y(x −τ ) = g(x)

is studied, where the coefficients a(x),b(x), c(x) and d(x) and function g(x) are arbitrary. In this manuscript, group analysis is applied to find equivalent symmetries of the equation.

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