Week 4 Homework - Spring 2021
Due Feb 19 at 11:59pm Points 14 Questions 14
Available Jan 30 at 8am - Feb 19 at 11:59pm 21 days Time Limit None
Attempt History
Attempt Time Score
LATEST Attempt 1 4 minutes 12 out of 14
Correct answers will be available on Feb 20 at 12pm.
Score for this quiz: 12 out of 14
Submitted Feb 16 at 7:45pm
This attempt took 4 minutes.
Incorrect
Question 1 pts
(Lesson 3.1: Solving a Differential Equation.) Suppose that
. We know that if is small, then
Using this expression with , find an approximate value for
.
a. 1
b. 2.72
c. 7.38
d. 14.93
https://gatech.instructure.com/courses/165326/quizzes/213841 1/17
,2/16/2021 Week 4 Homework - Spring 2021: Simulation - ISYE-6644-OAN/O01
We have
So using h = 0.01, we have
Thus, the answer is (d).
Question 2 pts
(Lesson 3.1: Solving a Differential Equation.) Suppose that .
What is the actual value of ?
a.
b.
c.
d.
and thus the answer is (d).
e.
and thus the answer is (d).
https://gatech.instructure.com/courses/165326/quizzes/213841 2/17
, 2/16/2021 Week 4 Homework - Spring 2021: Simulation - ISYE-6644-OAN/O01
Question 3 pts
(Lesson 3.1: Solving a Differential Equation.) Consider the differential
equation with . What is the exact
formula for ?
a.
b.
c.
This takes a little work. The good news is that you can actually get
the true answer using the technique of separation of variables. We
have
so that
Which implies
,
so that , where and are arbitrary constants.
Setting implies that , so that the exact answer is ,
the answer is , i.e., choice (c).
d.
https://gatech.instructure.com/courses/165326/quizzes/213841 3/17