Solution of this differential equation

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Discussion Overview

The discussion revolves around the resolution of a differential equation presented by a new forum member. The inquiry includes two forms of the equation: one unintegrated and one integrated. The context is research rather than homework.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • A participant presents a differential equation and seeks methods for its resolution, emphasizing that the function a(x) must be differentiable for all real numbers.
  • Another participant questions whether the second equation is derived from the first and asks if this is a homework problem.
  • The original poster clarifies that both equations represent the same mathematical relationship, differing only in their integration status, and asserts that it is part of a research project.
  • A later reply challenges the equivalence of the two equations, suggesting that the left-hand side was handled incorrectly and inquires about any specific value for "a" at a given x.

Areas of Agreement / Disagreement

Participants express differing views on the equivalence of the two forms of the equation, with some asserting they are the same and others contesting this claim. The discussion remains unresolved regarding the correct handling of the left-hand side of the equation.

Contextual Notes

There are limitations regarding the assumptions made about the equations and the specific values of "a" that may not have been provided, which could affect the discussion.

ecpietscheck
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Whatsup guys,
im new in this forum so be easy on me...
I've been banging my head against a wall lately...
i have come up across a differential equation i haven't been able to resolve...
does any of you know any way of resolving this equation??
a(x) needs to be differentiable for any x belonging to the real numbers
cheers guys!

(both of them are the same, the only difference is that the first one is without the integration procedure done, and the second is with both sides already integrated)
 

Attachments

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    Screen Shot 2013-04-05 at 11.58.27 AM.png
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Last edited:
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ecpietscheck said:
Whatsup guys,
im new in this forum so be easy on me...
I've been banging my head against a wall lately...
i have come up across a differential equation i haven't been able to resolve...
does any of you know any way of resolving this equation??
a(x) needs to be differentiable for any x belonging to the real numbers
cheers guys!

(the equation is attached to this very post)
You have two equations in the attachment. What's your question? Are you asking how the second equation results from the first?

BTW, is this a homework problem?
 
mark, thanks for replying
in fact, both of them are the same equation, the only thing is that the first one is without integrating, and the second one is when the equation is already integrated

and no, it is not homework, its a research I am doing...
 
The second equation is not equivalent to the first. You handled the left hand side incorrectly. Incidentally, is there some sort of value for "a" given at some value of x.
 

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