Explanation Given: The rate of change in infected men is d y d t = − a y + b ( f − y ) Y , where a and b equal to 1, Y equal to 0.01 , f is equal to 0.5 and at initial condition when t is equal to zero the number of infected men y is 0.02 Approach: Use integration to find the solution of the differential equation. Calculation: Put the values of a , b , f and Y in the given differential equation, d y d t = − y + ( 0.5 − y ) 0.01 = ( 0.005 1.01 − y ) 1.01 d y ( 0.0049 − y ) = 1.01 d t Integrate both sides with respect to t, − ln ( 0.0049 − y ) = 1 To determine (b) To find: The solution of the given rate of change in the number d Y d t = − A Y + B ( F − Y ) y of infected women by Gonorrhea.

Pearson eText for Calculus for the Life Sciences -- Instant Access (Pearson+)

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ISBN: 9780137553457

Author: Raymond Greenwell, Nathan Ritchey

Publisher: PEARSON+

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Chapter 11.6, Problem 5E

To determine

(a)

To find:

The solution of the given rate of change dydt=−ay+b(f−y)Y in the number of infected men by Gonorrhea.

To determine

(b)

To find:

The solution of the given rate of change in the number dYdt=−AY+B(F−Y)y of infected women by Gonorrhea.

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Chapter 11.6, Problem 4E

Chapter 11.6, Problem 6E

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Chapter 11 Solutions

Pearson eText for Calculus for the Life Sciences -- Instant Access (Pearson+)

Ch. 11.1 - YOUR TURN 1 Find all solutions of the differential...Ch. 11.1 - Prob. 2YT Ch. 11.1 - Prob. 3YT Ch. 11.1 - YOUR TURN In Example 6, find the goat population...Ch. 11.1 - Find the general solution for each differential...Ch. 11.1 - Prob. 2E Ch. 11.1 - Find the general solution for each differential...Ch. 11.1 - Prob. 4E Ch. 11.1 - Prob. 5E Ch. 11.1 - Prob. 6E

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(a) To find: The solution of the given rate of change d y d t = − a y + b ( f − y ) Y in the number of infected men by Gonorrhea.

Solution Summary: The author explains how to find the solution of the equation of change rate of infected men by Gonorrhea.

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(a)

To find:

The solution of the given rate of change dydt=−ay+b(f−y)Y in the number of infected men by Gonorrhea.

(b)

To find:

The solution of the given rate of change in the number dYdt=−AY+B(F−Y)y of infected women by Gonorrhea.

Want to see the full answer?

Chapter 11 Solutions

(a) To find: The solution of the given rate of change d y d t = − a y + b ( f − y ) Y in the number of infected men by Gonorrhea.

Solution Summary: The author explains how to find the solution of the equation of change rate of infected men by Gonorrhea.

Concept explainers

Videos

(a) To find: The solution of the given rate of change dydt=−ay+b(f−y)Y in the number of infected men by Gonorrhea.

(b) To find: The solution of the given rate of change in the number dYdt=−AY+B(F−Y)y of infected women by Gonorrhea.

Want to see the full answer?

Chapter 11 Solutions

(a)

To find:

The solution of the given rate of change dydt=−ay+b(f−y)Y in the number of infected men by Gonorrhea.

(b)

To find:

The solution of the given rate of change in the number dYdt=−AY+B(F−Y)y of infected women by Gonorrhea.