课程名称︰工程数学
课程性质︰生机系必修
课程教师︰颜炳郎
开课学院：生农学院
开课系所︰生机系
考试日期（年月日）︰108.10.22
考试时限（分钟）：80
试题 :
Find the homogeneous solutions of the following differential equations.
1. y'' + 2y = 0
2. y''' + y = 0
3. y'''' - 3y''' = 0
4. y'' + y' + y = 0
Fint the general solutions of the following differential equations
5. y'' - 3y' + 2y = x^2 + 1
6. y'' - 3y' + 2y = sin(e^{-x})
7. y'' - 4y = e^{2x}sinx
8. y''' + 3y'' + 3y' + y = e^{-x}
9. y'' - 2y' + 10y = 2x + sin(3x) + e^xcos(3x)
10. x^2y'' + xy' - 4y = sin(lnx)