Second-Order Linear Differential Equations - Algebra

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A second-order linear differential equationhas the form ... where ... and are continuous functions. We saw in Section 7.1 that equations of this type arise in the study of the motion of a spring. In Additional Topics: Applications of Second-Order Differential Equationswe will further pursue this application as well as the application to electric circuits. In this section we study the case where, for all, in Equation 1. Such equations are called homogeneouslinear equations. Thus, the form of a second-order linear homogeneous differential equation is