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Differential equation

  1. Apr 7, 2009 #1
    1. The problem statement, all variables and given/known data

    y`=(xy-y^2)/x^2

    3. The attempt at a solution


    y` = y/x -(y/x)^2

    {y/x=z , y=zx , y`=z+xz`}

    -z^2=x*dz/dx


    -z^2dx = xdz


    what`s next ?


    TNX . :smile:
     
  2. jcsd
  3. Apr 7, 2009 #2

    Mark44

    Staff: Mentor

    Next is to move the -z^2 and x factors around so they are with, respectively, dz and dx. Then integrate.
     
  4. Apr 7, 2009 #3
    To integrate that, you need your z's on one side and your x's on the other. Dividing through by x*z^2 should do the trick.
     
  5. Apr 7, 2009 #4
    can u write cant understand .

    TNX .
     
  6. Apr 7, 2009 #5
    it`s o k .

    TNX
     
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