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Homework Help: Differential Equation problem?

  1. Apr 8, 2010 #1
    1. The problem statement, all variables and given/known data
    Consider the differential equation dy/dx= (y-1)/x^2 and x does not equal 0
    a. Find the particular solution y = f(x) to the differential equation with the initial condition f(2)=0
    b. For the particular solution y = f(x) described in part a, find the limit as x goes to infinity of f(x)

    2. Relevant equations


    3. The attempt at a solution

    not really sure where to begin.

    Thank you so much!!!!
  2. jcsd
  3. Apr 8, 2010 #2


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    Homework Helper

    It is a separation of the variables type DE, can you solve one like that?
  4. Apr 8, 2010 #3
    Try to get the dx and x together and then integrate
  5. Apr 8, 2010 #4
    dy/dx= (y-1)/x^2

    rearranging the equation, you will get...

    ∫1/(y - 1) dy = ∫1 / (x^2) dx
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