Higher-Order Linear Differential Equations

  • Clay C. Ross
Part of the Undergraduate Texts in Mathematics book series (UTM)


Linear differential equations of higher order have useful and interesting applications, just as first-order differential equations do. We study linear differential equations of higher order in this chapter. The word linear in the chapter title should suggest that techniques for solving linear equations will be important. What is somewhat unexpected is that we have to appeal to the theory of solving polynomial equations in one variable. Though the solution technique for first-order equations gave us a complete solution in essentially one step, this is not the case here. For the first time we have to solve the homogeneous and nonhomogeneous equations separately and by different methods.


Characteristic Polynomial Constant Coefficient Linear Differential Equation Independent Solution Linear Differential Operator 
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Copyright information

© Springer Science+Business Media New York 2004

Authors and Affiliations

  • Clay C. Ross
    • 1
  1. 1.Department of MathematicsThe University of the SouthSewaneeUSA

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