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4: Applications and Higher Order Differential Equations

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    323
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    • 4.1: Higher Order Differential Equations
      Recall that the order of a differential equation is the highest derivative that appears in the equation. So far we have studied first and second order differential equations. Now we will embark on the analysis of higher order differential equations. We will restrict our attention to linear differential equations.

    Thumbnail: A double rod pendulum animation showing chaotic behavior. Starting the pendulum from a slightly different initial condition would result in a completely different trajectory. The double rod pendulum is one of the simplest dynamical systems that has chaotic solutions. (Public Domain; Catslash).


    This page titled 4: Applications and Higher Order Differential Equations is shared under a CC BY 4.0 license and was authored, remixed, and/or curated by Larry Green.

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