ISYE 6644 Week 4|ISYE 6644 Week 4 Homework Simulation|Questions & Answers|Latest Updated

ISYE 6644 Week 4 Homework Simulation
Week 4 Homework


Score for this quiz: 13 out of 13

Question 1
pts
(Lesson 3.1: Solving a Differential Equation.) Suppose that . We know that if is small, then


Using this expression with
a. 1

b. 2.72

c. 7.38

Correct! , find an approximate value for .
d. 14.93




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.

Correct!




Question 3
pts
(Lesson 3.1: Solving a Differential Equation.) Consider the differential equation
with
a.

b.

Correct!
c.
. What is the exact formula for ?

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.


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