MATH1120 Study Guide - Final Guide: Structure Of Policy Debate

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Differential equations (iv): homogeneous second order linear des. So far we have learnt how to find exact solutions to separable first order des and linear first order des. For other types of first order des finding exact solutions can become quite involved (or even impossible) and so instead we will turn our attention to second order des. Recall that a second order de is one that involves the second derivative of the unknown function. As with first order des we can only find analytic methods for solving second order. The class of second order des that we are going to consider in this lecture is called the class of homogeneous, second order, linear des with constant coefficients . Let"s try to put this into some sort of context. Recall from des (iii) that a first order linear de is a de of the form: