5. (5%) Consider one specially designed circuit with one capacitor, one inductor, and four resisters. The outputvoltage of the capacitor is denoted as x(t) and the output current of the inductor is denoted as y(t). Assume thatinitially x(0)-0 and y(0)=0 and these two devices might interact with each other by the following behavior.For the capacitor, the changing rate of x(t) is declined at a rate of -3x(), and simultaneously increased at a rateof y(t), and also positively depends on the independent current source g(t) =3t. Similarly, for the inductor；, thechanging rate of y(t) declines at a rate of -4y(t), and simultaneously increases at a rate of 2x(), and alsopositively depends on another independent voltage source

. Which of the following statements aretrue? 
(A)

(B)

(C)

(D)

(E)