my question is: what is the general solution of this system of coupled diff. equations:
f ''i = Cijfj
Cij is a matrix, fj(z) are functions dependent of z. indexes i and j go from 0 to N .
my question is: what is the general solution of this system of coupled diff. equations:
f ''i = Cijfj
Cij is a matrix, fj(z) are functions dependent of z. indexes i and j go from 0 to N .
Hi. This is what I think it is without looking so I'm not sure ok? You have second-order DEs which I can convert to first-order DEs just by adding more variables. I'd then have a system of first-order autonomous DEs which I can then in principle, compute the eigenvalues and vectors and then claim, the solution is:
where is the set of eigenvalues and , the set of eigenvectors.
I don't know. Is that right guys?