Explanation Given information: Given differential equation is y ' = k y ( 1 − y / 8 ) has solution satisfying y ( 0 ) = 12 and y ( 10 ) = 24 . On solving the given differential equation y ' = k y ( 1 − y / 8 ) y ' y ( 1 − y / 8 ) = k 8 y ' y ( 8 − y ) = k 8 d y y ( 8 − y ) = k d x 1 y d y + 1 8 − y d y = k d x On integrating ∫ 1 y d y + ∫ 1 8 − y d y

4th Edition

ISBN: 9781319055905

Author: FRANZOSA

Publisher: VST

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differentia…

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Chapter 9, Problem 46CRE

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To find the value of k in the given differential equation.

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Chapter 9, Problem 45CRE

Chapter 9, Problem 47CRE

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Chapter 9 Solutions

EBK CALCULUS: EARLY TRANSCENDENTALS

Ch. 9.1 - Prob. 1PQ Ch. 9.1 - Prob. 2PQ Ch. 9.1 - Prob. 3PQ Ch. 9.1 - Prob. 4PQ Ch. 9.1 - Prob. 1E Ch. 9.1 - Prob. 2E Ch. 9.1 - Prob. 3E Ch. 9.1 - Prob. 4E Ch. 9.1 - Prob. 5E Ch. 9.1 - Prob. 6E

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To find the value of k in the given differential equation.

Solution Summary: The author explains that the value of k in the given differential equation is y'=ky(1-y/8).

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Chapter 9 Solutions