How to find second solution of Algeb. Eq.

laurynhill87

Hello,

I have a n dimensional nonlinear vectorfield (algebraic equation): f(x,t)=0 where x is a vector and t the time.
For the time t=t0 there are two solutions:
First solution: f(x1,t0)=0 with the initial point x01
Second Solution: f(x2,t0)=0 with the initial point x02

My Problem: I have x01, so I can get the solution vector x1 with a numerical solver. But the numerical solver only finds x1.
But I need also the second solution x2!

Question: How can I get the second vector x2? Or a good approximation of x2?

Thanks!