Let's say I have a set of nonlinear differential equations of the form.(adsbygoogle = window.adsbygoogle || []).push({});

[tex]x' = f(x,y) \\

y' = g(x,y)[/tex]

Where f and g contain some parameter 'a' that is constrained to within certain values.

Let's say I know x(0), y(0) and x(T), y(T) where T isn't a set value. What methods can I use to solve/integrate this to match the boundary conditions with the parameter 'a' free to change. I suppose if T could be minimized that would be nice but it's not essential, just looking for general methods used to solve these sort of problems.

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# Boundary value problem - constrained paramter

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