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I'm looking for an analytical solution to this set of coupled equations:

[tex]U^{'}_{i}(x)=c (f_i(x)-(\vec{U}\cdot\vec{f})U_i(x))[/tex]

Where the vectors are 3 dimentional, c is constant and f is a vector of given functions:

[tex]f_i(x) , i\in 1..3[/tex]

There probably isn't one but I thought I'd try anyway.

thanks

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# A set of nonlinear coupled ODE's

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