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From the differential equation by eliminating the arbitrary constant from the equatio

  1. Feb 2, 2013 #1
    1. The problem statement, all variables and given/known data

    From the differential equation by eliminating the arbitrary constant from the equation
    (y - b ) ^2 = 4 (X-a )

    http://www7.0zz0.com/2013/02/02/21/747681463.png
     
  2. jcsd
  3. Feb 2, 2013 #2

    mfb

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    Re: From the differential equation by eliminating the arbitrary constant from the equ

    What do you want to do?
    The first equation is not a differential equation, and can be solved for y (or x) easily (not with the steps shown in the image).
     
  4. Feb 2, 2013 #3

    epenguin

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    Re: From the differential equation by eliminating the arbitrary constant from the equ

    Probably means form the differential equation.

    Well, just differentiate through by x.
     
  5. Feb 2, 2013 #4
    Re: From the differential equation by eliminating the arbitrary constant from the equ

    (y- b ) ^2 = 4 (X- a )

    2(y-b)dy/dx = 4 (divide by 2 )

    (y-b)dy/dx= 2

    then what should I do
     
  6. Feb 2, 2013 #5

    Dick

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    Re: From the differential equation by eliminating the arbitrary constant from the equ

    I don't know what you are trying to do. Yes, (y-b)dy/dx=2. So dy/dx=2/(y-b). If that's what you want to do you are done. You now have a differential equation for y without the initial condition constant.
     
    Last edited: Feb 2, 2013
  7. Feb 3, 2013 #6
    Re: From the differential equation by eliminating the arbitrary constant from the equ

    yes now

    dy/dx=2/(y-b)

    but after that what must I do ?

    ( 2/dy/dx )^2 = 4(X-a )
     
  8. Feb 3, 2013 #7

    mfb

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    Re: From the differential equation by eliminating the arbitrary constant from the equ

    Post the full problem statement please.
    We have no idea what you want/have to do, as it is your homework and not ours.
     
  9. Feb 3, 2013 #8

    epenguin

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    Re: From the differential equation by eliminating the arbitrary constant from the equ

    You have formed a differential equation by eliminating an arbitrary constant. That seems to be what you were asked but as Dick says, we have had to guess a bit.
     
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