試卷名稱:106年 - 台大工數C#99919
年份:106年
科目:研究所、轉學考(插大)◆工程數學
5. (5%) Consider one specially designed circuit with one capacitor, one inductor, and four resisters. The output
voltage of the capacitor is denoted as x(t) and the output current of the inductor is denoted as y(t). Assume that
initially 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 rate
of y(t), and also positively depends on the independent current source g(t) =3t. Similarly, for the inductor;, the
changing rate of y(t) declines at a rate of -4y(t), and simultaneously increases at a rate of 2x(), and also
positively depends on another independent voltage source
. Which of the following statements are
true?
(A)
(B)
(C)
(D)
(E) 