Theorem For a nonhomogeneous second order linear differential equation of the form: 3/\" +piwly' + (1013):; : at), f(:1:) 75 0-. (1) Suppose p(a:), q(:1:), and x) are continuous on ((1,6). Let yp be a particular solution equation (1) on ((1,1)) and let {yl , yg} be a fundamental set of the solutions of the associated homogeneous (or complementary) equation y\" l py' l qy : 0 on (a, b). Then 3; is a solution of (1) on ((1,1)) if and only if y = yp + ya, where ya = C1291 + 623/2 with constants Cl and 62