Rearrangement and intergration of algerba

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SUMMARY

The discussion centers on solving the differential equation dy/dx = xy/(x² + 3y²). A user expresses confusion about how to begin tackling the problem. Another participant suggests using the substitution v = y/x, which transforms the equation into a separable differential equation, facilitating a more straightforward solution process.

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ChrisBaker8
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Homework Statement



dy/dx = xy/(x^{2}+3y^{2})


The Attempt at a Solution



I just don't know where to start. Can someone please point me in the right direction?
 
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Try the substitution v = y/x. That will give you a separable differential equation.
 

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