July 21st, 2011, 01:14 AM  #1 
Newbie Joined: Jul 2011 Posts: 2 Thanks: 0  Complex system of ODE
Hello! I have to solve a system of differential equations like this where  complex vector and matrix, respectively; assume that are known. Let's find a solution . And so, we get the eigenvalue and eigenvector problem with general complex nonsymmetric matrix . I code it using FORTRAN and I use libraries to find the eigenvalues and eigenvectors. And so, the general solution looks like this I have some doubt about matrix and about my system of ODE. First of all. Does it the SODE with constant coefficients ? The matrix depends parametrically from . Secondly. Are the general solution coefficients different at each ? And Must I find it from several conditions, for example, ? Finally. Should I solve this SODE with conventional numerical methods, like RungeKutta 4th order (I have the initial conditions for vector )? Thank you very much. 

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complex, ode, system 
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