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

# 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

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