HELP First Order DE using Substitution Method

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Homework Help Overview

The discussion revolves around solving a first-order differential equation using a substitution method. Participants are exploring different substitution strategies to simplify the equation.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster expresses uncertainty about their chosen substitution and seeks clarification on potential oversights. Another participant suggests an alternative substitution involving the variable v=y/x, indicating a possible simplification by separating variables.

Discussion Status

The conversation is ongoing, with participants sharing their thoughts on different substitution methods. Some guidance has been offered regarding the use of v=y/x, but no consensus has been reached on the best approach.

Contextual Notes

There is mention of an attachment that may contain additional context or details relevant to the problem, but its content is not described in the discussion.

danerape
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I feel as if I have made the correct substitution, what am I missing? See Attachment.

Thanks,

Dane
 

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Any ideas at all?
 
danerape said:
Any ideas at all?

v=y/x looks like a better bet to me. If you divide the numerator and denominator of the RHS by x you can express it completely in terms of v. Should be easy to separate.
 
Thanks,

Dane
 

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