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.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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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.
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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