課程名稱︰工程數學
課程性質︰必修
課程教師︰蕭浩明
開課學院：工學院
開課系所︰機械系
考試日期（年月日）︰2016/10/12
考試時限（分鐘）：70
試題 :
1. (20%) (4e^(-y)sinx-1)dx-dy=0
2. (20%) (ycosx+2xe^y)dx+(sinx+(x^2)e^y+2)dy=0 is exact. Find its general
solution ψ by (1) standard method, (2) express the left side in a total
differential form and then integrate both sides to obtain the solution ψ.
3. (20%) (y+xy^2)dx+(x-x^2y)dy=0
4. (20%) y'=(2xy)/(x^2+y^2-1)
5. (20%) (x-lny)dy+ylnydx=0