ISYE 6644 Week 4 Homework – Simulation Questions & Answers | Simulation | Georgia Institute of Technology | Fall 2026

9/27/26, 2:23 PM Week 4 Homework: Simulation - ISYE-6644-OAN/O01/Q/ASY



Week 4 Homework
Due Sep 25 at 11:59pm
Points 13
Questions 13
Available Sep 18 at 8am - Sep 28 at 11:59pm
Time Limit None

Attempt History
Attempt Time Score
LATEST Attempt 1 15 minutes 13 out of 13

Score for this quiz: 13 out of 13
Submitted Sep 18 at 10:03pm
This attempt took 15 minutes.
Correct answer
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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

We have


So using h = 0.01, we have



Thus, the answer is (d).

We have


So using h = 0.01, we have



Thus, the answer is (d).
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, 9/27/26, 2:23 PM Week 4 Homework: Simulation - ISYE-6644-OAN/O01/Q/ASY

Correct answer

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).

Correct answer

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).

https://gatech.instructure.com/courses/538298/quizzes/798973?module_item_id=6187752 2/12