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Math 238 MATLAB Project 2 Due: April 8, 2021 Instructions: - You can work on this project in a group of up to 3 members. - Each group only needs to submit one report by the deadline. Please make sure that all the group members are listed in the document. - Please submit the report in PDF format. - Please download and extract Project2.zip in folder MATLAB Projects. There are 3 m-files in it. You should modify and use them to get the answers to each of the questions in this project. - Please also include the input and output of the MATLAB codes in your report. 1. In MATLAB, we can create a loop if we want to execute a command for multiple times. (a) A for loop in MATLAB is given below. Please explain what this loop does. n = 10; x = zeros(1, n); for i = 1 : n x(i) = i^2; end (b) Consider the differential equation dy/dx = x + y, y(0) = 1. The exact solution is y = 2e^x - x - 1. Please modify Project2_Q1.m to approximate the solution on the interval [0, 0.5] using Euler's method with h = 0.05, and h = 0.005 respectively.

          Math 238 MATLAB Project 2
Due: April 8, 2021

Instructions:
- You can work on this project in a group of up to 3 members.
- Each group only needs to submit one report by the deadline. Please make sure that all the group members are listed in the document.
- Please submit the report in PDF format.
- Please download and extract Project2.zip in folder MATLAB Projects. There are 3 m-files in it. You should modify and use them to get the answers to each of the questions in this project.
- Please also include the input and output of the MATLAB codes in your report.

1. In MATLAB, we can create a loop if we want to execute a command for multiple times.

(a) A for loop in MATLAB is given below. Please explain what this loop does.
n = 10;
x = zeros(1, n);
for i = 1 : n
    x(i) = i^2;
end

(b) Consider the differential equation
dy/dx = x + y, y(0) = 1.
The exact solution is y = 2e^x - x - 1. Please modify Project2_Q1.m to approximate the solution on the interval [0, 0.5] using Euler's method with h = 0.05, and h = 0.005 respectively.

Math 238 MATLAB Project 2
Due: April 8, 2021

Instructions:
- You can work on this project in a group of up to 3 members.
- Each group only needs to submit one report by the deadline. Please make sure that all the group members are listed in the document.
- Please submit the report in PDF format.
- Please download and extract Project2.zip in folder MATLAB Projects. There are 3 m-files in it. You should modify and use them to get the answers to each of the questions in this project.
- Please also include the input and output of the MATLAB codes in your report.

1. In MATLAB, we can create a loop if we want to execute a command for multiple times.

(a) A for loop in MATLAB is given below. Please explain what this loop does.
n = 10;
x = zeros(1, n);
for i = 1 : n
x(i) = i^2;
end

(b) Consider the differential equation
dy/dx = x + y, y(0) = 1.
The exact solution is y = 2e^x - x - 1. Please modify Project2Q1.m to approximate the solution on the interval [0, 0.5] using Euler's method with h = 0.05, and h = 0.005 respectively.

Added by Ignacio R.

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