Chapter 4, Problem 4.70P

To determine

(a)

To write: The differential equation for $v\left(t\right)$.

To determine

(b)

The damping coefficient, the complementary solution and the natural frequency of the circuit.

To determine

(c)

The reason for the particular solution $v_p\left(t\right)$ of the form $A\cos \left({10}^{4}t\right)+\sin \left({10}^{4}t\right)$ doesn't work for the given case.

To determine

(d)

The particular solution $v_p\left(t\right)$.

To determine

(e)

The complete solution for $v\left(t\right)$.