Solving for $\frac{dy}{dx} = xe^{-y} + \frac{2}{x}$

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Homework Help Overview

The discussion revolves around finding the general solution for the differential equation \(\frac{dy}{dx} = xe^{-y} + \frac{2}{x}\). Participants are exploring methods to approach this problem within the context of calculus.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • One participant suggests substituting \(u = e^y\) to simplify the equation. Others express concerns about the classification of the problem as a homework question, questioning the assumptions made by the community regarding the nature of the post.

Discussion Status

The discussion is ongoing, with participants providing different perspectives on the nature of the problem and the rules of the forum. Some guidance has been offered regarding the necessity of showing work before receiving help, but there is no explicit consensus on the classification of the problem.

Contextual Notes

There is a noted requirement in the forum for participants to demonstrate their work on homework questions, which has led to some confusion regarding the intent of the original poster. The conversation reflects a mix of interpretations about the nature of the inquiry and the rules governing the forum.

mathwizarddud
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Find the general solution for

\frac{dy}{dx} = xe^{-y} + \frac{2}{x}
 
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Let u=e^y

Now it should be a lot easier.
 
Note that, with homework questions, we require that you show your work before we help you, as per PF rules.
 
cristo said:
Note that, with homework questions, we require that you show your work before we help you, as per PF rules.


Why do (almost) everyone assume that my posts are homeworks questions? Is it invalid to post some (sensible) problems that one made up him/herself to learn the ways others solve it? LOL :-p
 
mathwizarddud said:
Why do (almost) everyone assume that my posts are homeworks questions? Is it invalid to post some (sensible) problems that one made up him/herself to learn the ways others solve it? LOL :-p

Possibly because you keep posting them in the Homework and Coursework section?
 
mathwizarddud said:
Why do (almost) everyone assume that my posts are homeworks questions? Is it invalid to post some (sensible) problems that one made up him/herself to learn the ways others solve it? LOL :-p
Homework & Coursework Questions
 
Actually he posted them in the Calculus & Analysis forum, and they got moved here. But more importantly, even if they are not homework questions, PF members are under no obligation to solve them for you. The same rules apply here as well.
 
mathwizarddud said:
Why do (almost) everyone assume that my posts are homeworks questions? Is it invalid to post some (sensible) problems that one made up him/herself to learn the ways others solve it? LOL :-p

So it's not a homework problem. It's just a problem you want other people to solve for you. Thats much better.:rolleyes:
 
mathwizarddud said:
Why do (almost) everyone assume that my posts are homeworks questions? Is it invalid to post some (sensible) problems that one made up him/herself to learn the ways others solve it? LOL :-p

Regardless, the forum rules state:
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.

Furthermore, if you read the forum rules, you must show us some work before we can help you.
 

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