Find the co-ordinate of the centre of the following circle as a function of time:
x2+y2 = C + 2 t x
The Attempt at a Solution
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)+y2 = C
As this looks a little more like a circle and conforms a little bit to the (x-a)2+(y-b)2 = R2 idea.
Thanks in advance!