Find a curve

Quote:

Consider the surface M parametrized by x(u,v) = (u, v, u2 - v2) and let P=(1,1,0)[itex] \in M[/itex]. Let v = ([itex]\frac{7}{2},2,3) \in T_p(M).[/itex] (a) Find a curve γ : I → M with γ(0) = P, γ'(0) = v and write γ(t) = x(u(t), v(t)), i.e. you need to find out what is u(t) and v(t).

Eh. I'm not quite sure how to find the curve γ(t). I think that the problem is probably a bit easier being given the parametrization of M. I do know that the point P lies in the xy-plane.