Solution of non-linear set of equations

[mtak0114]

Hi

Consider a set of n non-linear equations and I have m unknowns and n<m, so I don't have enough equations to solve the problem. All the unknowns are parametrized by say t

A possible solution to this that I considered was to take the derivative w.r.t. t and obtain another set of n equations, if 2n > m then I have more equations than unknowns and I these can be solved.

Now will this work?

cheers

M

 

[Dick]

If you consider the derivatives as well, you get 2n equation is 2m unknowns. Since the derivatives are unknown as well.

 

[mtak0114]

Sorry I was not clear the equations are really differential equations but I don't want a solution for all t just for 1 so I'm treating each derivative as an unknown. So I have
$$f_i(x_i(t),x_i'(t),x_i''(t)...) = 0$$ it is possible to have 2n>m+1, if not I just take extra derivatives until it is. Will this work or have I 'cheated'?


cheers

M

 

[Dick]

Maybe if you more specific in the problem you are actually trying solve we could help more. But you can't magically solve an under-determined system by taking derivatives.