(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

obtain the solution of the coupled system of equations

d^{2}X_{1}+2X_{1}=X_{2}

d^{2}X_{2}+2X_{2}=X_{1}

2. Relevant equations,3. The attempt at a solution

I envisioned encountering this equation using matrix methods, as outlined in this website, since it was much easier than substitution, differentiation, etc:

http://tutorial.math.lamar.edu/Classes/DE/SystemsDE.aspx

However, unlike the method shown in the webpage above, my equation it is a 2nd order DE. Therefore, can I follow the steps exactly as outlined in this example involving only a first order system of DE?

If that is the case, then can I use the same method for the system of DE I wrote below?

https://www.physicsforums.com/showthread.php?t=517819

This problem is a little bit more different, because it contains a 2nd order AND a first order DE .

Thanks for the continued support!

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# Homework Help: 2nd order system of linear DE through matrix methods

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