Chapter 7.5, Problem 33P

(a)

To determine

A condition on $R_1,R_2,C,L$ such that the condition is satisfied when eigen values of the coefficient matrix are to be real and different.

(b)

To determine

To show: The eigen values are negative when the condition is satisfied and show the cases $I\left(t\right)\to 0,V\left(t\right)\to 0\text{ as }t\to \infty$.

(c)

To determine

The eigen values are negative when the condition is satisfied and show the cases $I\left(t\right)\to 0,V\left(t\right)\to 0\text{ as }t\to \infty$ by changing the system to single order equation.