Diff eq Fourier Series Stuck halfway through,

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Homework Help Overview

The discussion revolves around finding the Fourier series of a function on a specified interval, with particular attention to the coefficients involved in the series expansion.

Discussion Character

  • Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants are examining the correctness of their Fourier series coefficients, specifically the sign of the bn term, and comparing their results to a reference answer from a textbook.

Discussion Status

Some participants are actively engaging in troubleshooting the calculations, with one noting a specific error regarding the sign of a coefficient. There is a collaborative effort to clarify the discrepancies between individual answers and the textbook solution.

Contextual Notes

There is an indication of a correction needed for the coefficient an, which should be multiplied by a specific factor. The discussion also reflects on the importance of matching the results with a provided answer from a textbook.

frozenguy
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Homework Statement


Find the Fourier series of f on the given interval:
EDIT: For the result of an, it should be multiplied by [tex]\frac{2}{1+n^{2}}[/tex]. That has been corrected.
112_15.jpg
 
Last edited:
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So far, so good.
 
Hey Vela thanks for your response. How about now? Is my answer in a different form or did I screw up somewhere? Note the books answer.
112_151.jpg
 
You messed up the sign of bn. Fix that and your answer will match the book's.
 
vela said:
You messed up the sign of bn. Fix that and your answer will match the book's.

Oh ok. I see that now, and the two factorizations I have to make.

Thanks for your help!
 

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