Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 1CR
Related questions
Question
Help with 1 please!
I don't know how to approach these questions and the textbook is really confusing me!
Transcribed Image Text:Problem Set 6.5
In Problems 1-4, solve the given differential equation subject to
the given condition. Note that y(a) denotes the value of y at t = a.
-6y. y(0) = 4
1.
3.
4.
5 31 313
dy
di
dy
dt
dy
dt
0.005 y, y(10) = 2
-0.003 y. y(-2) = 3
2.
dy
dt
=
6y, y(0) = 1
5. A bacterial population grows at a rate proportional to its
size. Initially, it is 10,000, and after 10 days it is 20,000. What is the
population after 25 days? See Example 2.
6. How long will it take the population of Problem 5 to dou-
ble? See Example 1.
7. How long will it take the population of Problem 5 to
triple? See Example 1.
8. The population of the United States was 3.9 million in
1790 and 178 million in 1960. If the rate of growth is assumed pro-
portional to the number present, what estimate would you give
for the population in 2000? (Compare your answer with the ac-
tual 2000 population, which was 275 million.)
at 3.2%
wh
or
rer
aft
bo
of
do
fre
51
in
wil
bro
mi
per
min
pla
the
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
Recommended textbooks for you
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,