LINEAR EQUATIONS OF SECOND ORDER AND ITS APPLICATION IN FORCED OSCILLATION

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ABSTRACT

This study deals with linear differential equations of second order and its application in forced oscillation and electric circuit modelling with the background of the study and introduction to second o.d.e in general and the objective of this study was also highlighted, stating why preference is given to second order linear differential equations with some of the reasons being that Their theory and applications show all the typical features show all the typical features of linear differential equation of any order n, and with it the transition to any n becomes simple. A second-order differential equation is called linear if it can be written Y” + P(x) Y’ -- q(x) Y = r(x). And this standard form of a linear differential equation can always be achieved by division by F(x). If such an equation begins with the term [F(x) Y].

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