110年 - 110 國立臺北科技大學_碩士班招生考試_機械工程系機電整合碩士班(甲組)：工程數學#101329

(1) 2 sin ydx+cos ydy=0, (10 pls)

3. (1) Obtain the Fourier series representation of the function f(x),
  

(2) Use the result from ( 1) to calculate . 

4. (1) Use Gauss elimination to solve the following system equation (10 pts)

(2) Write set of linear equations in (1) as Ax= e. Find and use this to solve for x. (10 pts)

5. Please solve the following PDE. (20 pts)