[试题] 108-1 萧浩明 工程数学 第三次期中考

楼主: heng31029 (俺是耕田的)   2019-12-11 20:28:31
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)︰2019/12/11
考试时限(分钟):60分钟
是否需发放奖励金:是
试题 :
Please note that all questions have to be solved by using Laplace Transform.
t
1. Solve L[e^(-t)∫ tsin2tdt]
0
2. Solve x''+16x = f(t) with x(0), x'(0) = 1
where f(t) = cos4t 0 ≦ t <π
f(t) = 0 t ≧ π
3. Solve y''-4ty' +4y = 0 with y(0) = 0, y'(0) = 10
x
4. Solve f(x) = e^(-2x) + 1/2∫e^(-τ)f(x-τ)dτ
0

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