114年 - 114 國立嘉義大學_碩士班招生考試試題_電機工程學系：工程數學#144120

科目：研究所、轉學考(插大)◆工程數學 | 年份：114年 | 選擇題數：0 | 申論題數：7

試卷資訊

所屬科目：研究所、轉學考(插大)◆工程數學

選擇題 (0)

申論題 (7)

1. Find the distance of the point x = (2, 4, −1) of R3 from the subspace W consisting of all vectors of the form (a, − 2a,b).

2. Try to analyze the solution set of the following linear non-homogeneous system. (Explain what the kernel space consists of? What is the significance of its geometry? And the significance of the geometry of the solution set?)


(a) Is ODE F a linear ODE?

(b) Solve the ODE F


a. Solve ODE y′′ − 2y′ + y = 0

b. Solve ODE y′ − 2y+ y = 6xex

c. Solve ODE y′′ − 2y'+y = 6excos x