Higher order linear ordinary differential equations

6 Higher Order Linear Ordinary Differential Equations 

Higher order linear ODEs can also be solved by changing them into a system of first order ODEs and using the exponential matrix approach discussed earlier. The most general form of a linear ODE of n order is[l] 

the solution is obtained by finding the exponential matrix and the non-homogeneous part (see equation 2.12). The procedure used to solve higher order linear ODEs can be summarized as follows  

Start the Maple program with a restart command to clear all variables. 

Call with(linalg) and with(plots) commands. 

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In this chapter, a few methods were presented for obtaining a solution to the linear second-order (or higher) ordinary differential equations. To the inexperienced practitioners, these many options could present a dilemma that is, given a problem, which method should one use ... 

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