I am working on some model analysis, getting two diff equations and after I convert them into matrix form, I have equations looks like
$$ [A][X]=C\times\big(\exp([B][X])-1\big), $$
where $C$ is a constant and Both $[A]$ and $[B]$ are found out from two diff equations and boundary conditions.
Now my question is how am I able to find the value of $[X]$, I am thinking using fixed point method, but this is in matrix form, could any one give me any clue or hint?