Deriving differential equations for RLC circuit state variables

[jvcuevas1992]

Homework Statement

here is the circuit >>> http://www.4shared.com/photo/F3ewfm_3/22_online.html
the whole question is here >>> http://www.4shared.com/document/Qwxgzq78/Circuits_for_Modeling.html
whats assigned to me is #22.

anyways, what we need to get here is the differential equations for the state variables because were going to input the equations in matlab-simulink eh. and I am having a hard time getting the differential equations of the circuits

Homework Equations

The Attempt at a Solution

 

[jegues]

Homework Statement

here is the circuit >>> http://www.4shared.com/photo/F3ewfm_3/22_online.html
the whole question is here >>> http://www.4shared.com/document/Qwxgzq78/Circuits_for_Modeling.html
whats assigned to me is #22.

anyways, what we need to get here is the differential equations for the state variables because were going to input the equations in matlab-simulink eh. and I am having a hard time getting the differential equations of the circuits

Homework Equations

The Attempt at a Solution

Starting writing equations from KVL's and KCL's.

You have two energy storage devices so you should expect a 2nd order ODE.