Need clarification on equation used to model part of an RLC circuit

Thread Starter

seand33ly

Joined Sep 13, 2019
1
hwhelp.jpg The equation above is used to describe part of the circuit above. I am looking for help understanding where this equation came from. I was able to derive equations for x2' and y successfully but I cannot figure out how x1' is derived.

Below is the original problem.

Please let me know if you have any questions/need further clarification. Any help is appreciated! Thank you.

Inked2_13_2 - Copy_LI.jpg
 
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