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Homework Help: Another Separable Differential Equation

  1. Feb 11, 2010 #1
    1. The problem statement, all variables and given/known data
    Solve the following equation by separating variables.

    2. Relevant equations
    x2y2y' +1 = y

    3. The attempt at a solution
    I have been able to work through the problem to this point:

    -1/x + C = int(y2/y-1)dy

    I am not sure how to integrate the right hand expression int(y2/y-1)dy
  2. jcsd
  3. Feb 11, 2010 #2
    Polynomial division of y2/(y-1) looks like it will work.
    Last edited: Feb 11, 2010
  4. Feb 11, 2010 #3


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    Homework Helper

    Have you tried u-substitution with u=y-1?
  5. Feb 11, 2010 #4
    What do you mean by polynomial division?

    u-substitution with u = y-1 brings it to int(y^2/u)du, with both y and u variables
  6. Feb 11, 2010 #5
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