I'm trying to 'solve' two coupled second order ODE's with the intent of putting them in state space. My specific problem is more complex and includes additional equations which are irrelevant. Essentially I can solve the problem if I know the solution to this. x1 and x2 are time dependent variables and A-H are constant coefficients.
I initially thought I could simply plug x2 into x1's equation to obtain one equation and then x1 into x2's to obtain the other equation. However, I feel like this would create a redundant state space matrix which would be otherwise useless. Really all I need is these two in reduced state space
The Attempt at a Solution
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