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I'm calculating the velocity of something that's stretching, and as it gets longer, the velocity decreases.

So to calculate the velocity at time (t):

v(t) = A / (B L(t))

A change in the distance over a small time dt will be given by:

dL=v(t) dt

So I guess the distance is:

L= integral from 0 to t of v(t) dt ?

How can I go about solving such an equation? Are itterative methods required? Can anyone give me some keywords to help my search on google? I don't really know where to start.

Thanks a lot for your time.

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# Calculating a value that depends on itself.

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