Differential equation separated variables

  • Thread starter esmeco
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  • #1
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Homework Statement



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?

Homework Equations



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The Attempt at a Solution



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Answers and Replies

  • #2
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Anyone help?
 
  • #3
cristo
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Anyone help?

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.
 
  • #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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