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Homogenous differential equation

  • Thread starter rbailey5
  • Start date
  • #1
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1. Homework Statement [/b

so I am given a known homogeneous differential equation dy/dx=(y^2+x*sqrt(x^2+y^2))/xy


Homework Equations


now I know that you have to separate in to some form of y/x which then you can change into v and solve the differential equation but I am having trouble


The Attempt at a Solution


I just can't figure out how to get it in the appropriate form in order to simplify
 

Answers and Replies

  • #2
LCKurtz
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Let y = ux, y' = u'x + u. Work it out and show us what happens.
 

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