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How to solve a second order differential equation system?

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Jimmy
Jimmy 2013-6-5
I am looking for the most efficient way to solve this problem using Matlab. This is an example of a system with multiple masses, springs and dampers. A force is applied on one of the masses causing the system to vibrate. I need to solve for Xi(t) with i=1,2 and 3.
Thank you for your time!

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