RLC Low-Pass Circuit: Find Current in Resistor

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The discussion revolves around solving for the current through a resistor in an RLC low-pass circuit, with an emphasis on applying Kirchhoff's loop and junction rules. The user has derived two differential equations but is experiencing difficulty in solving them. There is a request for assistance in showing the steps to solve these equations. The conversation highlights the challenges of circuit analysis and the need for collaborative problem-solving. Ultimately, the focus is on finding a solution to the current in the resistor using established circuit analysis techniques.
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Homework Statement



Find the current through the resistor in the following RLC low-pass circuit:

570px-RLC_low-pass.svg.png
(there's an EMF missing on the left side, V=Vo cos(omega*t)

Homework Equations


Kirchoff's loop rule

The Attempt at a Solution


By using Kirchoff's loop rule and the junction rule, i get two differential equations. But I am stuck, can't solve them.
 
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FermatPell said:
By using Kirchoff's loop rule and the junction rule, i get two differential equations. But I am stuck, can't solve them.


Show them why don't you ...
 

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