102年 - 102 國立嘉義大學_碩士班招生考試試題_土木與水資源工程學系：工程數學#146598

科目：研究所、轉學考(插大)◆工程數學 | 年份：102年 | 選擇題數：0 | 申論題數：7

1. Find the general solution for the following equations (20%)
y''+4y'+9y= 0

2. (a) Find the Laplace Transform of (10%)

(b) Find the Inverse Laplace Transform of (10%)

3. The matrix is unitary, Hermitian, Skew-Hermitian or none ofthese, and find the eigenvalue of this matrix. (20%)

(a) (10%)

(b) (10%)

5. Find the solution of the following equation: (20%)
U_xy+2U_x=X , satisfying contion U(0,y)=0, Ux(x,0)=X²