9. If the time rate of growth of a population is directly proportional to the size of the population, write a differential equation that describes this growth process. dP = -kP dP С. dt dP d. dt -kP2 dt dP b. = +kP dt = -kP2 a.
9. If the time rate of growth of a population is directly proportional to the size of the population, write a differential equation that describes this growth process. dP = -kP dP С. dt dP d. dt -kP2 dt dP b. = +kP dt = -kP2 a.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
![9. If the time rate of growth of a population is directly proportional to the size of the
population, write a differential equation that describes this growth process.
dP
dP
С.
dt
dP
d.
-kP
-kP2
dt
dP
b.
= +kP
dt
:-kP2
dt
10. The velocity of a particle in a magnetic field is found to be directly proportional to
the square root of its displacement. Write a differential equation for this situation
in terms of the displacement of the particle and the elapsed time.
ds
ds
C.
dt
ds
d.
dt
= -kVS
+ks?
a.
dt
ds
b.
dt
= +kyS
= -ks?
a.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F96813088-3d3a-45ea-a2ee-499f7942630e%2F55ed90a1-9b79-4dc4-bfde-c79339e46a9b%2Favgryx_processed.png&w=3840&q=75)
Transcribed Image Text:9. If the time rate of growth of a population is directly proportional to the size of the
population, write a differential equation that describes this growth process.
dP
dP
С.
dt
dP
d.
-kP
-kP2
dt
dP
b.
= +kP
dt
:-kP2
dt
10. The velocity of a particle in a magnetic field is found to be directly proportional to
the square root of its displacement. Write a differential equation for this situation
in terms of the displacement of the particle and the elapsed time.
ds
ds
C.
dt
ds
d.
dt
= -kVS
+ks?
a.
dt
ds
b.
dt
= +kyS
= -ks?
a.
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