... f (x – n)ϕ(x – n) for for for for ≤ x < 1, ≤ x < 2, ≤ x < 3, n ≤ x < n + 1, (17.2.1.11) where n = 3, 4, The sequence of formulas (17.2.1.11) that determine a solution of the Cauchy problem ... single formula [x] f (x – k), y(x) = ϕ({x}) (17.2.1.12) k=1 where [x] and {x} denote, respectively, the integer and the fractional parts of x (x = [x] + {x}), and the product over the empty set of ... general solution of the corresponding homogeneous equation (with g ≡ 0), and the second term y(x) is a particular solution of equation (17.2.1.15) A formula for the general solution of equation (17.2.1.15)...