From the course: Complete Guide to Differential Equations Foundations for Data Science

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Undetermined coefficients with higher order equations

Undetermined coefficients with higher order equations

From the course: Complete Guide to Differential Equations Foundations for Data Science

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Undetermined coefficients with higher order equations

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- [Instructor] Let's dive into your first technique for solving higher-order nonhomogeneous differential equations. You use this technique with second order differential equations in the previous chapter, and it is generally the same process when dealing with the higher order version of these types of equations. Let's review the undetermined coefficients technique. The undetermined coefficients method is when you make an educated guess on what a particular solution may be to a differential equation and then you solve for the corresponding unknown coefficient values. This gets you the particular solution to add to your general solution to gather your final general solution to your higher-order nonhomogeneous differential equation. Note that you can technically use this method without finding the general solution first, but generally it is easier if you find that general solution before you proceed. Let's review the steps to solve a higher-order nonhomogeneous differential equation…

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