The given differential equation is a solution of m ( t ) = ( m 0 − C i V ) e − R t V + C i V .

Question

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Answer 1

Question

Chapter 9.5, Problem 35E

a.

To determine

To show: The given differential equation is a solution of m(t)=(m0−CiV)e−RtV+CiV .

b.

To determine

To verify: The value m(0)=m0 for the solution of the given differential equation.

c.

To determine

To evaluate: The limit value of the solution obtained in part a. and give the physical interpretation of the solution.

d.

To determine

To describe: The effect of increasing the value of R on the graph of the solution.

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Answer 2

Question

Chapter 9.5, Problem 35E

a.

To determine

To show: The given differential equation is a solution of m(t)=(m0−CiV)e−RtV+CiV .

b.

To determine

To verify: The value m(0)=m0 for the solution of the given differential equation.

c.

To determine

To evaluate: The limit value of the solution obtained in part a. and give the physical interpretation of the solution.

d.

To determine

To describe: The effect of increasing the value of R on the graph of the solution.

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Answer 3

Question

Chapter 9.5, Problem 35E

a.

To determine

To show: The given differential equation is a solution of m(t)=(m0−CiV)e−RtV+CiV .

b.

To determine

To verify: The value m(0)=m0 for the solution of the given differential equation.

c.

To determine

To evaluate: The limit value of the solution obtained in part a. and give the physical interpretation of the solution.

d.

To determine

To describe: The effect of increasing the value of R on the graph of the solution.

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Answer 4

Question

Chapter 9.5, Problem 35E

a.

To determine

To show: The given differential equation is a solution of m(t)=(m0−CiV)e−RtV+CiV .

b.

To determine

To verify: The value m(0)=m0 for the solution of the given differential equation.

c.

To determine

To evaluate: The limit value of the solution obtained in part a. and give the physical interpretation of the solution.

d.

To determine

To describe: The effect of increasing the value of R on the graph of the solution.

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Answer 5

Chapter 9.5, Problem 35E

a.

To determine

To show: The given differential equation is a solution of m(t)=(m0−CiV)e−RtV+CiV .

b.

To determine

To verify: The value m(0)=m0 for the solution of the given differential equation.

c.

To determine

To evaluate: The limit value of the solution obtained in part a. and give the physical interpretation of the solution.

d.

To determine

To describe: The effect of increasing the value of R on the graph of the solution.

Answer 6

Chapter 9.5, Problem 35E

a.

To determine

To show: The given differential equation is a solution of m(t)=(m0−CiV)e−RtV+CiV .

Answer 7

Chapter 9.5, Problem 35E

a.

To determine

To show: The given differential equation is a solution of m(t)=(m0−CiV)e−RtV+CiV .

Answer 8

b.

To determine

To verify: The value m(0)=m0 for the solution of the given differential equation.

Answer 9

b.

To determine

To verify: The value m(0)=m0 for the solution of the given differential equation.

Answer 10

c.

To determine

To evaluate: The limit value of the solution obtained in part a. and give the physical interpretation of the solution.

Answer 11

c.

To determine

To evaluate: The limit value of the solution obtained in part a. and give the physical interpretation of the solution.

Answer 12

d.

To determine

To describe: The effect of increasing the value of R on the graph of the solution.

Answer 13

d.

To determine

To describe: The effect of increasing the value of R on the graph of the solution.

Answer 14

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Answer 15

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Answer 16

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Answer 17

Ch. 9.1 - What are the orders of the equations in Example 2?...Ch. 9.1 - Prob. 2QC Ch. 9.1 - Prob. 3QC Ch. 9.1 - Prob. 4QC Ch. 9.1 - In Example 7, if the height function were given by...Ch. 9.1 - Prob. 1E Ch. 9.1 - Prob. 2E Ch. 9.1 - Prob. 3E Ch. 9.1 - Prob. 4E Ch. 9.1 - The solution to the initial value problem y(t) = 2...

The given differential equation is a solution of m ( t ) = ( m 0 − C i V ) e − R t V + C i V .

Solution Summary: The author explains that the given differential equation is a solution of m(t)=-RV

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To show: The given differential equation is a solution of m(t)=(m0−CiV)e−RtV+CiV .

To verify: The value m(0)=m0 for the solution of the given differential equation.

To evaluate: The limit value of the solution obtained in part a. and give the physical interpretation of the solution.

To describe: The effect of increasing the value of R on the graph of the solution.

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Chapter 9 Solutions