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複選題1.(10%) Given an RLC circuit. The current i(t) can be expressed bywhore Which of the following are correct? (A) i(t) approaches zero at t→∞for any positive R, L,C value, (B) Fort＞0, i(t) does not have sinusoidal component, (C) (D) For bo, i(t) is proportional toe', (E) i(π)=0.

2. (5%) Solve the differential equation below. Which of the following are the possible solutions? (A) (B)(C)(D) (E)

複選題3. (5%) For the differential equation below.Which of the following are correct? (A)General solution form include (x)=x•cos(x), (B) General solution form include(C) Gencral solution formn include(D)(E)

複選題4. (5%) A heart pacemaker consists of a switch, a battery, a capacitor with constant capacitance C, and the heart as a resister with constant resistance R. When the switch is closed, the capacitor charges； when the switch is open, the capacitor discharges, sending an electrical stimulus to the heart. During the time the heart is being stimulated, the voltage y(t) across the heart satisties the linear differential equation : , where t is the time variable. Assume that initially, i.e, at t = O, the voltage y(t) across the heart is equal to 4 and the constant RC =1. Which of the following statements are true? (A) For t≥0, the particular solution of the lincar differential equation is (B) For t≥0,the particular solution of the linear differential equation is(C) For t≥0, the particular solution of the linear differential equation is, c is any constant, (D) For t≥0, the solution of the linear differential equation is(E) For t≥0,the solution of the linear diffcrential equation is