Hi, am studying for final exam and have come across a problem i haven't seen before and am having some trouble here;

Calculate the flow line curve c(t) to the vector field F= (x,-y) which passes through the point (1,2).

I know that c'(t) = F(c(t)) For c(t) to be a flowline, do i have to solve a Differential equation here? What is best way of doin this problem?

Any help will be much appreciated.

Cheers,