作者kcwdcw (郭)
看板NTU-Exam
标题[试题] 105-1 萧浩明 工程数学上 第三次期中考
时间Fri Jan 13 00:33:47 2017
课程名称︰工程数学上
课程性质︰必修
课程教师︰萧浩明
开课学院:工学院
开课系所︰机械系
考试日期(年月日)︰2016/12/14
考试时限(分钟):70
试题 :
-1 1 1
1. (15%) Given that L [--------] = -[2sint - sin2t]
s^4 + 5s^2 + 4 6
-1 e^(-πs)
Find L [---------]
s(s^4 + 5s^2 + 4)
t
2. (15%) Solve L[∫ u(e^u)(t - u)^2du]
0
t
3. (15%) Solve y' - 2y = ∫ (e^2(t-τ)) cos(3τ) dτ; y(0) = 0
0
4. (15%) Solve y" + y = u(t - π) - u(t - 2π) y(0) = 0, y'(0) = 0
5. (20%) Solve x' + (1/3)x - ((1-2t)/3)x^4 = 0
Hint: Chang of Variables
6. (20%)Solve x" + 16x = f(t); x(0) = 0, x'(0) = 1
where f(t) = cos4t 0 <= t < π
f(t) = 0 t >= π
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