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Differential equation substituition of new terms

  1. May 4, 2014 #1
    1. The problem statement, all variables and given/known data


    for this question, i sub u=xy and try to eliminate y in my working.. but how should i proceed since the term ux cannot be separated

    2. Relevant equations



    3. The attempt at a solution
     

    Attached Files:

  2. jcsd
  3. May 4, 2014 #2

    ehild

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    Gold Member

    I do not understand what you did. Your u-s and y-s look the same. Eliminate y by replacing it with u/x. Note that xdy/dx+y=du/dx, and xy2=u2/x.

    ehild
     
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