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i got a question trying to solve some problems from my schools webpage and encountered a problem where im given 2 RLC-Circuits and the corresponding dgls for the oscilation ( no problem so for all the standart basic E/M stuff)

But then im asked to transform this system of 2 dgl´s of second order to a system of first order ode´s ( think i´ll need 4 of them)

It ´s kind of the same thing like transforming from lagrange to hamilton mechanics ( in a waage sense at least :) )

Could you just test me which technique to use no need for a extensive explanetion of how to do don´t wanna steals one´s time ;) Can look that up in a book.

bye and thanks so far :)