thanks so much for sharing your answers and work.

"4DOF Spur Gear System - Eigenvalues not corresponding with the Eqns?"

I am analyzing this gear modeling and I have three questions:

1) I think the variables are:

Ѳ_p

Ѳ_g

x_p

x_g

T_p (torque)

T_g (torque)

There are 4 equations and 6 variables. How to solve this?

Do I have to assume values for T_p and T_q? are they equal?

2) could I assume that Ks=Kmb?

3) what are the initial values for the variables and derived variables?