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Differential equation separated variables

  1. Jan 1, 2007 #1
    1. The problem statement, all variables and given/known data

    I solved this equation and I was wondering if it's correctly solved...Also, I have one question: In my equation,at the very end, is it possible to calculate the value of V?I have solved other exercises where the final equation was,for example: y + ln[y - 1] = ex + C . Is it possible to simplificate it more?

    2. Relevant equations

    Image below

    3. The attempt at a solution

    Image below
     

    Attached Files:

  2. jcsd
  3. Jan 2, 2007 #2
    Anyone help?
     
  4. Jan 2, 2007 #3

    cristo

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    I think the reason that noone has helped is that the attachment is still pending approval. You may have to wait a while for it to be approved.
     
  5. Jan 2, 2007 #4

    HallsofIvy

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    You have a couple of missing negatives: at one point [itex]-(1-\frac{1}{v}[/itex] becomes [itex]-1-\frac{1}{v}[/itex]. I would recommend that you rewrite -(1- v) as v- 1.

    In this case, no it is not possible to simplify it any more. That's typical separable differential equations- you cannot generally solve for one variable as a function of the other.
     
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