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General solution of a differential equation (separable)

  1. Nov 8, 2011 #1
    1. The problem statement, all variables and given/known data
    Find the general solution of the differential equation y'=4t-ty^2

    2. Relevant equations
    y'=4t-ty^2


    3. The attempt at a solution
    I 'think' this question is pretty straight forward but i'm still not sure if I did it right or not. I have two question. One till the last step that I have done, have I done it correctly 2. How do I proceed from there? The attempt is attached.
     

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  2. jcsd
  3. Nov 8, 2011 #2

    dextercioby

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    What you've written is correct. Normally, you should know on what subset of R you're looking for y. If not, then keep the modulus there and don't explicitate.
     
  4. Nov 8, 2011 #3
    The proff didn't give any range for y. So by don't explicitate you mean I should keep it the way it is?
     
  5. Nov 8, 2011 #4

    dextercioby

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