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# The Method of Undetermined Coefficients

## The Method of Undetermined Coefficients

❶All that we need to do it go back to the appropriate examples above and get the particular solution from that example and add them all together. This work is avoidable if we first find the complementary solution and comparing our guess to the complementary solution and seeing if any portion of your guess shows up in the complementary solution.

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## Main Topics

In this section we introduce the method of undetermined coefficients to find particular solutions to nonhomogeneous differential equation. We work a wide variety of examples illustrating the many guidelines for making the initial guess of the form of the particular solution that is needed for the method.

### Privacy FAQs

Pros and Cons of the Method of Undetermined Coefficients:The method is very easy to perform. However, the limitation of the method of undetermined coefficients is that the non-homogeneous term can only contain simple functions such as,,, and so the trial function can be effectively guessed.