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Diff Equation

  1. Jun 21, 2009 #1
    1. The problem statement, all variables and given/known data
    y2dx -x(2x+3y)dy =0 I have to recognize the equation and solve it


    2. Relevant equations



    3. The attempt at a solution

    I did y2dx - (2x2+ 3yx) dy=0
    which is a homogeneous now
    after I substitude x=uy
    dx=udy + ydu

    I stuck here after the substitution

    y2udy+y3du - 2x2dy + 3yxdy=0

    please someone help if I am not in right direction from the begining.
     
  2. jcsd
  3. Jun 21, 2009 #2

    HallsofIvy

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    Staff Emeritus
    Science Advisor

    I am more accustomed to write y= ux but your method is equivalent.
    Saying x= uy is the same as saying u= y/x. Divide your last equation by [itex]x^2[/itex] and see what you get!
     
  4. Jun 21, 2009 #3
    ok, thanks.
     
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