104年 - 104 國立中山大學_碩士班招生考試_資工系(乙組)：工程數學#105843

1. Solve the general and particular solutions of the following ordinary differential equation
(ODE).
y'cos² x+3y=1,

2. Solve the given nonhomogeneous linear ODE only by the method of variation of parameter. Show the details of your work. [Hint : use y = u ㆍ] 

3.Find the coefficient of Fourier secries in the signal
[Note: the coefficient of each Fourier series can be represented in the fractional form.]