Differential equation separated variables

[esmeco]

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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[esmeco]

Anyone help?

 

[cristo]

Anyone help?

I think the reason that no one has helped is that the attachment is still pending approval. You may have to wait a while for it to be approved.

 

[HallsofIvy]

You have a couple of missing negatives: at one point $-(1-\frac{1}{v}$ becomes $-1-\frac{1}{v}$. 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.