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

Thread Starter


Joined Sep 13, 2019
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