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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!

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# How to find second solution of Algeb. Eq.

Can you offer guidance or do you also need help?

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