tioIn vvrunSecolld- order equations. 6. Use the method of Problem 5 to solve the equation 1. nditions. of the dy dt ayb. 7. The field mouse population in Example 1 satisfies the differential equation dyP 450. dt 2 a. Find the time at which the population becomes extinct if p(O) 850. b. Find the time of extinction if p(0) Po, where 0< po< 900 N c. Find the initial population po if the population is to become extinct in 1 year e same. om the fied by 8. The falling object in Example 2 satisfies the initial value to solve problem dv 9.8 v0) 0 dt (31) a. Find the time that must elapse for the object to reach 98% of its limiting velocity. h How far does the object fall in the time found in part a? (221

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 15EQ
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Given the equation dy/dt=(p/2)-450
Find the time of extinction if p(0)=psub0, where 0

This is question number 7

tioIn
vvrunSecolld-
order equations.
6.
Use the method of Problem 5 to solve the equation
1.
nditions.
of the
dy
dt ayb.
7. The field mouse population in Example 1 satisfies the
differential equation
dyP 450.
dt 2
a. Find the time at which the population becomes extinct if
p(O) 850.
b. Find the time of extinction if p(0) Po, where 0< po<
900
N c. Find the initial population po if the population is to
become extinct in 1 year
e
same.
om the
fied by
8. The falling object in Example 2 satisfies the initial value
to solve problem
dv
9.8 v0) 0
dt
(31)
a. Find the time that must elapse for the object to reach 98% of
its limiting velocity.
h How far does the object fall in the time found in part a?
(221
Transcribed Image Text:tioIn vvrunSecolld- order equations. 6. Use the method of Problem 5 to solve the equation 1. nditions. of the dy dt ayb. 7. The field mouse population in Example 1 satisfies the differential equation dyP 450. dt 2 a. Find the time at which the population becomes extinct if p(O) 850. b. Find the time of extinction if p(0) Po, where 0< po< 900 N c. Find the initial population po if the population is to become extinct in 1 year e same. om the fied by 8. The falling object in Example 2 satisfies the initial value to solve problem dv 9.8 v0) 0 dt (31) a. Find the time that must elapse for the object to reach 98% of its limiting velocity. h How far does the object fall in the time found in part a? (221
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