ULAM STABILITY OF A GENERAL nth ORDER LINEAR DIFFERENTIAL EQUATION WITH CONSTANT COEFFICIENTS

In this paper, we will investigate one of the Ulam stability, namely the Hyers - Ulam stabilityof anthorder homogeneous and non - homogeneous Linear Differential Equation with Constantcoefficients of the formx(n)(t) +a1x(n−1)(t) +a2x(n−2)(t) +...+anx(t) = 0andx(n)(t) +a1x(n−1)(t) +a2x(n−2)(t) +...+anx(t) =f(t)wheret∈[a,b] anda, b∈R,set of all Real numbers.