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## Homework Statement

Find the co-ordinate of the centre of the following circle as a function of time:

x

^{2}+y

^{2}= C + 2 t x

## Homework Equations

## The Attempt at a Solution

No idea..!

It's part of a fluid dynamics problem, which I don't need to explain here, other than to say I plotted it on Mathematica and can see that the circle moves to the right at a rate of 't'.

So the answer is : Centre of circle = (t, 0) as a function of time.

But I don't know how to get to that answer.

The only thing that I think

*might*be helpful is to rearrange it into the form:

x(x-2t)+y

^{2}= C

As this looks a little more like a circle and conforms a little bit to the (x-a)

^{2}+(y-b)

^{2}= R

^{2}idea.

Thanks in advance!

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