課程名稱︰工程數學上
課程性質︰必修
課程教師︰蕭浩明
開課學院：工學院
開課系所︰機械系
考試日期（年月日）︰2019/12/11
考試時限（分鐘）：60分鐘
是否需發放獎勵金：是
試題 :
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