Calculate a0, an, bn, and the sum of the first six partial sums, and show their corresponding plots using MATLAB.

INSTRUCTIONS TO CANDIDATES

ANSWER ALL QUESTIONS

Question 1 (Fourier series)

Calculate a0, an, bn, and the sum of the first six partial sums, and show their corresponding plots using MATLAB.

Question 2 (Ordinary Differential equation)

Solve the following initial value problem using MATLAB

[Marks 10]

y  y tan x  sin 2x , y(0)  1 [Marks 5]

Question 3 (Laplace transformation)

Find a general solution using MATLAB and Laplace Transform for the following differential equation:

5y'2 y  sint [Marks 15]

Note: You must attach the file for the MATLAB script (.m file) and a word document which provides an organised compilation of the MATLAB results and screen shots.

Helpful link for Fourier series and Laplace Transform using MATLAB:

https://au.mathworks.com/help/curvefit/fourier.html

https://au.mathworks.com/help/symbolic/sym.laplace.html?searchHighlight=laplace%20trans form&s_tid=srchtitle

https://au.mathworks.com/help/symbolic/referencelist.html?type=function&s_tid=CRUX_top nav

Attachments:

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