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Second-Order Linear Differential Equations - …
Second-Order Linear Differential EquationsA Second-Order Linear Differential equationhas the formwhere ,, , and are continuous functions. We saw in Section that Equations ofthis type arise in the study of the motion of a spring. In Additional Topics: Applications ofSecond-Order Differential Equationswe will further pursue this application as well as theapplication to electric this section we study the case where , for all , in Equation 1. Such equa-tions are called homogeneouslinear Equations . Thus, the form of a Second-Order linearhomogeneous Differential equation isIf for some , Equation 1 is nonhomogeneousand is discussed in AdditionalTopics: Nonhomogeneous Linear basic facts enable us to solve homogeneous Linear Equations .
Second-Order Linear Differential Equations 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.
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