試卷名稱:106年 - 106 國立中山大學_碩士班招生考試_電機系(甲、己組)、電波領域:工程數學甲#125264
年份:106年
科目:中山◆電機◆工程數學甲
5. Consider the differential equation tẋ + x = cos(ωt). Which of the following is true?
(A) the general solution is sin(ωt) + C, C is a constant.
(B) the particular (forced) solution is periodic with period ω
(C) the solution is NOT bounded when t grows to infinity
(D) If x(π/ω) = 1, then the solution is (sin(ωt) + π)/(ωt)
(E) none of the above