- #31
Lchan1
- 38
- 0
oh. e... hahahaa thanks
Can u=y/x be used to solve x(dy/dx)=y+e^(8x/y)?
- Thread starter Lchan1
- Start date
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Homework Help Overview
The discussion revolves around the differential equation x(dy/dx) = y + e^(8x/y), with participants exploring the substitution u = y/x to simplify the problem. The subject area includes differential equations and methods of substitution in calculus.
Discussion Character
- Exploratory, Assumption checking, Mathematical reasoning
Approaches and Questions Raised
- Participants discuss various attempts to manipulate the equation, including dividing both sides by x and substituting u = y/x. Some express confusion over the correctness of their derivatives and the implications of using the quotient rule.
Discussion Status
The discussion is ongoing, with several participants sharing their attempts and expressing uncertainty about their results. Some guidance has been offered regarding the use of the quotient rule and the need to differentiate correctly. There is a recognition of multiple interpretations of the problem as participants clarify their understanding of the original equation.
Contextual Notes
There is mention of a potential typo in the original problem statement, which has led to some confusion. Participants are also navigating the constraints of their homework rules and the requirement to express the solution in terms of y.
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