9: Linear Higher Order Differential Equations — Read

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This chapter extend the results obtained in Chapter 5 for linear second order equations to linear higher order equations.

9.1: Introduction to Linear Higher Order Equations
This section presents a theoretical introduction to linear higher order equations. We will sketch the general theory of linear n-th order equations.
- 9.1E: Introduction to Linear Higher Order Equations (Exercises)
9.2: Higher Order Constant Coefficient Homogeneous Equations
In this section we consider the homogeneous constant coefficient equation of n-th order.
- 9.2E: Higher Order Constant Coefficient Homogeneous Equations (Exercises)
9.3: Undetermined Coefficients for Higher Order Equations
This section presents the method of undetermined coefficients for higher order equations.
- 9.3E: Undetermined Coefficients for Higher Order Equations (Exercises)
9.4: Variation of Parameters for Higher Order Equations
This section extends the method of variation of parameters to higher order equations. We’ll show how to use the method of variation of parameters to find a particular solution of Ly=F, provided that we know a fundamental set of solutions of the homogeous equation: Ly=0.
- 9.4E: Variation of Parameters for Higher Order Equations (Exercises)

Thumbnail: The Wronskian. In general, for an n^th order linear differential equation, if \((n-1)\) solutions are known, the last one can be determined by using the Wronskian.

This page titled 9: Linear Higher Order Differential Equations was last modified on Mon, 20 Jul 2020 16:47:34 GMT and is shared under a CC BY-NC-SA 3.0 license and was authored, remixed, and/or curated by William F. Trench.

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