Differential Equation homework help

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Homework Help Overview

The discussion revolves around a differential equation problem involving a power series defined by the function f(x) = ∑ (9^n / (4n)) x^(2n) for n=1 to ∞. Participants are tasked with using the Ratio Test to find the radius of convergence and determining the first three non-zero terms of the derivative of the power series.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Some participants express confidence in solving part a but indicate difficulties with part b. Others question the completeness of the original post and the necessity of showing attempts at solutions.

Discussion Status

The discussion is ongoing, with some participants providing feedback on the posting format and rules of engagement. There is a mix of encouragement and critique regarding the attempts made by the original poster, indicating a need for clearer engagement with the problem.

Contextual Notes

Participants note the importance of adhering to forum rules regarding the presentation of homework questions and the requirement to show attempts at solutions for assistance.

Mivg
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Homework Statement



f(x) = [tex]\sum[/tex] [tex]\frac{9^{n}}{4n}[/tex] x[tex]^{2n}[/tex]

n=1, [tex]\infty[/tex] is on top of the summation sign.

Homework Equations



a) Use the Ratio Test to find the radius of convergence of the Power Series
b) Find f [tex]\grave{}[/tex](x) and write out the first three (non-zero) terms of the power series for f [tex]\grave{}[/tex](x)
 
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You've, erm, omitted a section of the posting template, haven't you?

3. Attempt at a solution.

Come on, this is an easy Calc II problem. A Diff Eq student should at least be able to start it.
 
I got part a no problem, but having trouble with part b.
 
Mivg said:
I got part a no problem, but having trouble with part b.
There's still no attempt at a solution...
 
Some help you guys are, thanks a bunch.
 
Sorry, apparently you've found the wrong website. You meant to post on http://www.wedoyourhomeworkforyou.com .

But if you want to continue to post here, you must abide by the rules that you explicitly agreed to before registering.

To refresh your memory:

Homework Help:
On posting questions: Any and all high school and undergraduate homework assignments or textbook style exercises for which you are seeking assistance are to be posted in the appropriate forum in our Homework & Coursework Questions area. This should be done whether or not the problem is part of one's coursework. The reason for this is that the scientific and mathematical sections of Physics Forums are to be reserved for discussions and not academic assistance. Since graduate level assignments are meant to be more thought provoking (and hence more worthy of discussion), graduate level questions will be allowed in the relevant part of the main section of PF, provided that the graduate student attempts the problem and shows his work. NOTE: You MUST show that you have attempted to answer your question in order to receive help. You MUST make use of the homework template, which automatically appears when a new topic is created in the homework help forums. [/color]

Color[/color] added for emphasis.

And hey, don't get mad at me. I don't write the rules here. Oh wait, yes I do...
 
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