Abstract
This paper is concerned with a second-order iterated differential equation of the form <TEX>$c_0x'(Z)+c_1x'(z)+c_2x(z)=x(az+bx(z))+h(z)$</TEX> with the distinctive feature that the argument of the unknown function depends on the state. By constructing a convergent power series solution of an auxiliary equation, analytic solutions of the original equation are obtained.
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