Take-Home Exam 3
MATH 2500 Differential Equations Section 01
Due: March 20th, 2017
Problem Number
1
2
3
Total
Possible Points
30
40
30
100
Earned Points
1.
2.
3.
MATLAB Project 1: Eulers Method & Direction Fields
Math 2500 - Differential Equations - Sec. 01
Due: 01/30/2017
1. Consider the following two initial value problems along with their exact solutions
dy
format short
clear all
clc
clf
f = @(x,y) y*cos(x); 0(x,y)
g = @(x) 4*exp(sin(x);%Exact Solution
a = 0;
b = 6*pi;
y0 = 4;
h = [1 0.5 0.1 0.01];
xVec = a:0.00001:b;
[xVal1, yVal1] = euler(f,a,b,y0,h(1)
MATLAB Project 2: Forced Vibrations
Math 2500 - Differential Equations - Section 01
Due: April 3rd, 2017
1. Consider our model for the displacement of a mass m, attached to a spring
with stiffness k,