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110年 - 110 國立臺北科技大學_碩士班招生考試_製造科技研究所：微分方程#101322

科目：研究所、轉學考(插大)-常微分方程 | 年份：110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)-常微分方程

選擇題 (0)

申論題 (7)

1. Solve the following differential equation: (15pts)
x-xy-y'=0
(1) Show that the above differential equation is not exact. (5pts)

(2) Find the integrating factor of the form 6144096d5946d.jpg. (10pts)
(3) Find the general solution of the differential equation. (10pts)

3. Solve the following initial value differential equation: (15pts)
xy'+y-ef=0, y(l)=e6144098b8f8c6.jpg

4. Solve the following differential equation: (20pts)
6144099f638d5.jpg

5. Please solve the following boundary value problem: (25pts)
614409b4d2701.jpg