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Unformatted text preview: Linear and Nonlinear equations D.J.Jeffrey Dept Applied Maths, UWO September 25, 2006 1 Introduction The first step in solving a set of equations is identification . Equations can be classified into various types, and once we have identified a set of equations as being of a particular type, we can apply known methods for solving them. In this course, we study the solution of linear equations, and therefore we must learn how to identify linear equations. In addition, we shall see ways in which some nonlinear equations can be solved by converting them into linear equations. It is a common mistake to try to solve nonlinear equations by using the methods of linear equations. However, the methods cannot be used to solve nonlinear problems, and therefore it is important to be able to recognize linear equations. In this section, we learn two things. How to identify a particular set of equations as being linear. How to identify when a particular set of equations is non linear. How to convert some nonlinear equations into linear ones....
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- Winter '07