109年 - 109 國立成功大學碩士班招生考試_電機工程學系、電機資訊學院、微電、奈米聯招:工程數學#103780

1.Solve (15%)

2. Prove the integral as following
(15%)

4. Find the eigenvalues and eigenfunctions of the following problem. (20%)
 y"+λy=0；y'(0)=y'(L)=0

5. Determine the inverse Laplace transform of the function. (15%) 

6. Let vectorfield F=2yzi-4xzjtspk. Evaluate the value of the surface integral , where Σis the sphere of radius 5 about (-1,3,1) . (15%)