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研究所、轉學考(插大)◆工程數學
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103年 - 103 淡江大學 轉學考 工程數學#55465
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1. Solve(sin x cos y)dx + (cos x sin y)dy = 0. (20%)
其他申論題
(a) Show the relation R is an equivalence relation;
#208700
(b) indicate the corresponding partition on A.
#208701
(a) Use Dijkstra’s algorithm to find the length a shortest path between the vertices a and i.(必須標示出每一個步驟的結果）
#208702
(b) Use Kruskal’s algorithm to find a minimum spanning tree. (必須標示出邊被選擇的順序）
#208703
2. Solve y''+3y'- 4y=0, y(0) = 2, y'(0) = 1.(20%)
#208705
3. Solve by Cramer ,s rule. (20%)
#208706
4. Solve by considering it as eigenvalue problem. (20%)
#208707
5. Find the Fourier sine transform and Fourier cosine transform of e-ax ，a＞0. (20%)
#208708
#208709
(b)求 yp(t、(particular solution)
#208710
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