SMA209-Mathematics 2 MATLAB assignment Total marks: 30 Submission deadline: 30/05/2021, 23.59 pm Question 1 (Fourier series) Calculate a0, an, bn and the sum of first six partial sums, and show their...

Will require the matlab script for the assignment.


SMA209-Mathematics 2 MATLAB assignment Total marks: 30 Submission deadline: 30/05/2021, 23.59 pm Question 1 (Fourier series) Calculate a0, an, bn and the sum of first six partial sums, and show their corresponding plots using MATLAB. [Marks 10] Question 2 (Ordinary Differential equation) Solve the following initial value problem using MATLAB xxyy 2sintan =+ , 1)0( =y [Marks 5] Question 3 (Laplace transformation) Find a general solution using MATLAB and Laplace Transform for the following differential equation: tyy sin2'5 =+ [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 https://au.mathworks.com/help/curvefit/fourier.html https://au.mathworks.com/help/symbolic/sym.laplace.html?searchHighlight=laplace%20transform&s_tid=srchtitle https://au.mathworks.com/help/symbolic/sym.laplace.html?searchHighlight=laplace%20transform&s_tid=srchtitle https://au.mathworks.com/help/symbolic/referencelist.html?type=function&s_tid=CRUX_topnav https://au.mathworks.com/help/symbolic/referencelist.html?type=function&s_tid=CRUX_topnav